diff --git a/toonz/sources/toonz/columncommand.cpp b/toonz/sources/toonz/columncommand.cpp
index 372af70..ad06f47 100644
--- a/toonz/sources/toonz/columncommand.cpp
+++ b/toonz/sources/toonz/columncommand.cpp
@@ -43,6 +43,8 @@
 // TnzBase includes
 #include "tfx.h"
 #include "tfxattributes.h"
+#include "tparamcontainer.h"
+#include "tparamset.h"
 
 // TnzCore includes
 #include "tstroke.h"
@@ -98,9 +100,24 @@ void getColumnLinkedFxs(TFx *startFx, TFx *newStartFx,
   }
 }
 
+//------------------------------------------------------
+
+template <typename ParamCont>
+void setGrammerToParams(const ParamCont *cont,
+                        const TSyntax::Grammar *grammer) {
+  for (int p = 0; p != cont->getParamCount(); ++p) {
+    TParam &param = *cont->getParam(p);
+    if (TDoubleParam *dp = dynamic_cast<TDoubleParam *>(&param))
+      dp->setGrammar(grammer);
+    else if (TParamSet *paramSet = dynamic_cast<TParamSet *>(&param))
+      setGrammerToParams(paramSet, grammer);
+  }
+}
+
 //-----------------------------------------------------------------------------
 
-void cloneNotColumnLinkedFxsAndOutputsFx(TXsheet *xsh, TXsheet *newXsh) {
+void cloneNotColumnLinkedFxsAndOutputsFx(
+    TXsheet *xsh, TXsheet *newXsh, QMap<TFx *, TFx *> *fxTable = nullptr) {
   int columnCount = xsh->getColumnCount();
   assert(newXsh->getColumnCount() == columnCount);
 
@@ -134,6 +151,9 @@ void cloneNotColumnLinkedFxsAndOutputsFx(TXsheet *xsh, TXsheet *newXsh) {
       newFxDag->getInternalFxs()->addFx(newFx);
       if (fxDag->getTerminalFxs()->containsFx(fx))
         newFxDag->getTerminalFxs()->addFx(newFx);
+      // if the fx has not unique name then let assignUniqueId() set the default
+      // name
+      if (newFx->getName() == newFx->getFxId()) newFx->setName(L"");
       newFxDag->assignUniqueId(newFx);
       clonedFxs[fx] = newFx;
       notColumnLinkedClonedFxs.append(newFx);
@@ -201,6 +221,17 @@ void cloneNotColumnLinkedFxsAndOutputsFx(TXsheet *xsh, TXsheet *newXsh) {
       newOutputFx->getInputPort(0)->setFx(newInputFx);
     }
   }
+
+  // reset grammers for all parameters of cloned fxs
+  // or they fails to refer to other parameters via expression
+  TSyntax::Grammar *grammer = newXsh->getStageObjectTree()->getGrammar();
+  QMap<TFx *, TFx *>::const_iterator it;
+  for (it = clonedFxs.constBegin(); it != clonedFxs.constEnd(); ++it) {
+    setGrammerToParams(it.value()->getParams(), grammer);
+
+    // register to the fx table for expression management
+    if (fxTable) fxTable->insert(it.key(), it.value());
+  }
 }
 
 //-----------------------------------------------------------------------------
@@ -1075,11 +1106,13 @@ void ColumnCmd::cloneChild(int index) {
   data->storeColumns(indices, childXsh, 0);
   data->storeColumnFxs(indices, childXsh, 0);
   std::list<int> restoredSplineIds;
+  QMap<TStageObjectId, TStageObjectId> idTable;
+  QMap<TFx *, TFx *> fxTable;
   data->restoreObjects(indices, restoredSplineIds, newChildXsh,
-                       StageObjectsData::eDoClone);
+                       StageObjectsData::eDoClone, idTable, fxTable);
   delete data;
 
-  cloneNotColumnLinkedFxsAndOutputsFx(childXsh, newChildXsh);
+  cloneNotColumnLinkedFxsAndOutputsFx(childXsh, newChildXsh, &fxTable);
   cloneXsheetTStageObjectTree(childXsh, newChildXsh);
   /*--以下は、Clone SubXsheet
   するときに、SubXsheet内にある子SubXsheetをクローンする関数
@@ -1092,6 +1125,10 @@ void ColumnCmd::cloneChild(int index) {
   newChildXsh->getFxDag()->getXsheetFx()->getAttributes()->setDagNodePos(
       childXsh->getFxDag()->getXsheetFx()->getAttributes()->getDagNodePos());
 
+  ExpressionReferenceManager::instance()->refreshXsheetRefInfo(newChildXsh);
+  ExpressionReferenceManager::instance()->transferReference(
+      childXsh, newChildXsh, idTable, fxTable);
+
   newChildXsh->updateFrameCount();
 
   /*-- TXshChildLevel作成時にsetCellした1つ目のセルを消去 --*/
diff --git a/toonz/sources/toonz/expressionreferencemanager.cpp b/toonz/sources/toonz/expressionreferencemanager.cpp
index a43aed3..6cc3d39 100644
--- a/toonz/sources/toonz/expressionreferencemanager.cpp
+++ b/toonz/sources/toonz/expressionreferencemanager.cpp
@@ -310,6 +310,21 @@ void ExpressionReferenceManager::onSceneSwitched() {
 
 //-----------------------------------------------------------------------------
 
+void ExpressionReferenceManager::refreshXsheetRefInfo(TXsheet* xsh) {
+  xsh->setObserver(this);
+  m_model->refreshData(xsh);
+  xsh->getExpRefMonitor()->clearAll();
+  for (int i = 0; i < m_model->getStageObjectsChannelCount(); i++) {
+    checkRef(m_model->getStageObjectChannel(i), xsh);
+  }
+  for (int i = 0; i < m_model->getFxsChannelCount(); i++) {
+    checkRef(m_model->getFxChannel(i), xsh);
+  }
+  onXsheetSwitched();
+}
+
+//-----------------------------------------------------------------------------
+
 void ExpressionReferenceManager::onXsheetSwitched() {
   TXsheet* xsh = TApp::instance()->getCurrentXsheet()->getXsheet();
   xsh->setObserver(this);
@@ -772,7 +787,8 @@ void ExpressionReferenceManager::transferReference(
 
   // 1. create 3 tables for replacing; column indices, parameter pointers, and
   // expression texts. Note that moving columns in the same xsheet does not need
-  // to replace the parameter pointers since they are swapped along with columns.
+  // to replace the parameter pointers since they are swapped along with
+  // columns.
   QMap<int, int> colIdReplaceTable;
   QMap<TDoubleParam*, TDoubleParam*> curveReplaceTable;
   std::map<std::string, std::string> exprReplaceTable;
diff --git a/toonz/sources/toonz/expressionreferencemanager.h b/toonz/sources/toonz/expressionreferencemanager.h
index 4f04924..a6a8953 100644
--- a/toonz/sources/toonz/expressionreferencemanager.h
+++ b/toonz/sources/toonz/expressionreferencemanager.h
@@ -79,6 +79,7 @@ public:
 
   bool askIfParamIsIgnoredOnSave(bool saveSubXsheet);
 
+  void refreshXsheetRefInfo(TXsheet* xsh);
 protected slots:
   void onSceneSwitched();
   void onXsheetSwitched();
diff --git a/toonz/sources/toonz/subscenecommand.cpp b/toonz/sources/toonz/subscenecommand.cpp
index 2726d89..107faca 100644
--- a/toonz/sources/toonz/subscenecommand.cpp
+++ b/toonz/sources/toonz/subscenecommand.cpp
@@ -1300,7 +1300,7 @@ void collapseColumns(std::set<int> indices, bool columnsOnly) {
   data->storeColumns(indices, xsh, StageObjectsData::eDoClone);
   data->storeColumnFxs(indices, xsh, StageObjectsData::eDoClone);
 
-  ExpressionReferenceMonitor *monitor = xsh->getExpRefMonitor()->clone();
+  // ExpressionReferenceMonitor *monitor = xsh->getExpRefMonitor()->clone();
 
   ToonzScene *scene = app->getCurrentScene()->getScene();
   TXshLevel *xl     = scene->createNewLevel(CHILD_XSHLEVEL);
@@ -1323,6 +1323,7 @@ void collapseColumns(std::set<int> indices, bool columnsOnly) {
   if (!columnsOnly)
     bringPegbarsInsideChildXsheet(xsh, childXsh, indices, newIndices, idTable);
 
+  ExpressionReferenceManager::instance()->refreshXsheetRefInfo(childXsh);
   ExpressionReferenceManager::instance()->transferReference(xsh, childXsh,
                                                             idTable, fxTable);
 
@@ -1411,7 +1412,7 @@ void collapseColumns(std::set<int> indices,
                      StageObjectsData::eDoClone);
   data->storeColumnFxs(indices, xsh, StageObjectsData::eDoClone);
 
-  ExpressionReferenceMonitor *monitor = xsh->getExpRefMonitor()->clone();
+  // ExpressionReferenceMonitor *monitor = xsh->getExpRefMonitor()->clone();
 
   ToonzScene *scene = app->getCurrentScene()->getScene();
   TXshLevel *xl     = scene->createNewLevel(CHILD_XSHLEVEL);
@@ -1430,6 +1431,7 @@ void collapseColumns(std::set<int> indices,
                        fxTable);
   childXsh->updateFrameCount();
 
+  ExpressionReferenceManager::instance()->refreshXsheetRefInfo(childXsh);
   ExpressionReferenceManager::instance()->transferReference(xsh, childXsh,
                                                             idTable, fxTable);
 
@@ -1475,7 +1477,7 @@ void collapseColumns(std::set<int> indices, const std::set<TFx *> &fxs,
   data->storeColumns(indices, xsh, StageObjectsData::eDoClone);
   data->storeFxs(fxs, xsh, StageObjectsData::eDoClone);
 
-  ExpressionReferenceMonitor *monitor = xsh->getExpRefMonitor()->clone();
+  // ExpressionReferenceMonitor *monitor = xsh->getExpRefMonitor()->clone();
 
   ToonzScene *scene = app->getCurrentScene()->getScene();
   TXshLevel *xl     = scene->createNewLevel(CHILD_XSHLEVEL);
@@ -1494,6 +1496,7 @@ void collapseColumns(std::set<int> indices, const std::set<TFx *> &fxs,
   if (!columnsOnly)
     bringPegbarsInsideChildXsheet(xsh, childXsh, indices, newIndices, idTable);
 
+  ExpressionReferenceManager::instance()->refreshXsheetRefInfo(childXsh);
   ExpressionReferenceManager::instance()->transferReference(xsh, childXsh,
                                                             idTable, fxTable);
 
diff --git a/toonz/sources/toonzlib/fxcommand.cpp b/toonz/sources/toonzlib/fxcommand.cpp
index ac3e1aa..e661775 100644
--- a/toonz/sources/toonzlib/fxcommand.cpp
+++ b/toonz/sources/toonzlib/fxcommand.cpp
@@ -129,6 +129,9 @@ inline void setFxParamToCurrentScene(TFx *fx, TXsheet *xsh) {
 void initializeFx(TXsheet *xsh, TFx *fx) {
   if (TZeraryColumnFx *zcfx = dynamic_cast<TZeraryColumnFx *>(fx))
     fx = zcfx->getZeraryFx();
+  // if the fx has not unique name then let assignUniqueId() set the default
+  // name
+  if (fx->getName() != L"" && fx->getName() == fx->getFxId()) fx->setName(L"");
 
   xsh->getFxDag()->assignUniqueId(fx);
   setFxParamToCurrentScene(fx, xsh);
diff --git a/toonz/sources/toonzqt/stageobjectsdata.cpp b/toonz/sources/toonzqt/stageobjectsdata.cpp
index 5b83a5f..dc94d06 100644
--- a/toonz/sources/toonzqt/stageobjectsdata.cpp
+++ b/toonz/sources/toonzqt/stageobjectsdata.cpp
@@ -989,10 +989,20 @@ std::vector<TStageObjectId> StageObjectsData::restoreObjects(
               dynamic_cast<TXshZeraryFxColumn *>(pastedColumn)) {
         TZeraryColumnFx *zfx = zc->getZeraryColumnFx();
         TFx *zeraryFx        = zfx->getZeraryFx();
-        if (zeraryFx && doClone) {
-          std::wstring app = zeraryFx->getName();
-          fxDag->assignUniqueId(zeraryFx);
-          zeraryFx->setName(app);
+        if (zeraryFx) {
+          if (doClone) {
+            // if the fx has not unique name then let  assignUniqueId() set the
+            // default name
+            if (zeraryFx->getName() == zeraryFx->getFxId())
+              zeraryFx->setName(L"");
+            fxDag->assignUniqueId(zeraryFx);
+          } else
+            fxDag->updateFxIdTable(zeraryFx);
+          if (TXshZeraryFxColumn *orig_zc =
+                  dynamic_cast<TXshZeraryFxColumn *>(column)) {
+            if (TFx *origZeraryFx = orig_zc->getZeraryColumnFx()->getZeraryFx())
+              fxTable[origZeraryFx] = zeraryFx;
+          }
         }
       }
     }
@@ -1037,8 +1047,9 @@ std::vector<TStageObjectId> StageObjectsData::restoreObjects(
 
     if (doClone) {
       fx = fxOrig->clone(false);
-
-      fx->setName(fxOrig->getName());
+      // if the fx has not unique name then let assignUniqueId() set the default
+      // name
+      if (fx->getName() == fx->getFxId()) fx->setName(L"");
       fx->getAttributes()->setId(fxOrig->getAttributes()->getId());
       fx->getAttributes()->passiveCacheDataIdx() = -1;
 
@@ -1083,7 +1094,10 @@ std::vector<TStageObjectId> StageObjectsData::restoreObjects(
           linkedFx = fx->clone(false);
           linkedFx->linkParams(fx);
 
-          linkedFx->setName(oldLinkedFx->getName());
+          // if the fx has not unique name then let assignUniqueId() set the
+          // default name
+          if (linkedFx->getName() == linkedFx->getFxId())
+            linkedFx->setName(L"");
           linkedFx->getAttributes()->setId(
               oldLinkedFx->getAttributes()->getId());
           linkedFx->getAttributes()->passiveCacheDataIdx() = -1;