I just wanted to share a tweak I did to the cutCopyPaste.mel script in Maya that removes the "pasted__" from objects copied from one file to another. It will also increments any object that matches another like the Maya import feature. All you'll need to do is replace the old cutCopyPaste.mel with this one.

cutCopyPaste.mel

// ===========================================================================
// cutCopyPaste.mel
// Dan C Bruce
// 3/27/2019
// www.dancbruce.com
//
// Replace the old cutCopyPaste.mel with this to remove the "pasted__" on
// objects copied from one Maya to another.  It will also increments any object
// that matches another like the Maya import feature.
// ===========================================================================

global proc pasteScene()
{

	/* Begin: MAYA-39777

	   Maya 2015 copy writes out to ascii or binary
	   depending on file format open:
	   paste expects matching file type:
	   therefore ascii copy paste to binary fails
	*/

	string $userTmpDir = `internalVar -userTmpDir`;
	string $clipBoardFiles;
	string $filePath;
	
	//Get the latest maya clipboard scene, whether ascii or binary
	if (!`about -ltVersion`)
	{
		string $presentWorkingDir = `pwd`;
		chdir($userTmpDir);

		if (`about -linux` == 1)
		{
			$clipBoardFiles = `system("ls -t maya_sceneClipBoard.m*")`;
		}
		else if (`about -mac` == 1)
		{
			$clipBoardFiles = `system("ls -t maya_sceneClipBoard.m*")`;
		}
		else if (`about -windows` == 1)
		{
			$clipBoardFiles = `system("dir /b /o:-D maya_sceneClipBoard.m*")`;
		}

		string $mayaSceneBuffer[];
		int $sceneCount = tokenize($clipBoardFiles, $mayaSceneBuffer);

		if (`file -q -exists ($userTmpDir + $mayaSceneBuffer[0])` == 1)
		{
			$filePath = ($userTmpDir + $mayaSceneBuffer[0]);
		}
		chdir($presentWorkingDir);
	}
	//End: MAYA-39777

	else
	{
		// Determine current scene file type
		string $getFileType[] = `file -q -type`;
		string $fileExt;

		if (`about -ltVersion`) {
			$fileExt = ".mlt";
		}

		// determine temp directory
		string $tmpFile = "/maya_sceneClipBoard" + $fileExt;
		$filePath = ($userTmpDir + $tmpFile);
	}

	// import scene
    string $newTransforms[] = `file -force    
        -import 
        -renameAll true 
        -mergeNamespacesOnClash true 
        -namespace ":" 
        -returnNewNodes 
        $filePath`;
        
	select -replace `ls -dag -head 1 $newTransforms`;
}

global proc cutCopyScene (int $cut){

    // Determine current Maya scenes file type
    string $getFileType[] = `file -q -type`;
    string $fileExt;
    string $fileType;

    if ( 0 != size($getFileType) && $getFileType[0] == "mayaAscii" ){
        $fileExt = ".ma";
        $fileType = "mayaAscii";
    }
    else {
        $fileExt = ".mb";
        $fileType = "mayaBinary";
    }
	if (`about -ltVersion`) {
		$fileExt  = ".mlt";
		$fileType = "mayaLT";
	}

	// determine temp directory
	string $tmpFile = "/maya_sceneClipBoard" + $fileExt;
	string $tmpdir = `getenv TMPDIR`;
	string $filePath = ($tmpdir + $tmpFile);

	// export selected nodes
	file -force
		-exportSelected
		-constructionHistory true
		-channels true
		-expressions true
		-constraints true
		-shader true
		-type $fileType
		$filePath;

	// delete nodes if user asks for cut
	if ($cut){
		delete;
	}
}

global proc cutCopyPaste (string $operation){

	// $operation:	cut
	//				copy
	//				paste

	// make sure generateChannelMenu has been sourced so channelBox commands work
	if (!`exists channelBoxCommand`){
		source generateChannelMenu.mel;
	}

	// based on active panel, channelBox selection and selected nodes
	// determine what user wants to cut copy paste

	string $option = "none";;
	string $parameter;
	string $selection[] = `ls -sl`;

	// determine if active panel is animation based
	// this value should override the channelBox cut copy paste
	string $currentPanel = `getPanel -underPointer`;
	if( $currentPanel == "" ) {
		$currentPanel = `getPanel -withFocus`;
	}
	string $panelType = `getPanel -typeOf $currentPanel`;
	if( $panelType == "scriptedPanel" ) {
		$panelType = `scriptedPanel -q -type $currentPanel`;
		if (   $panelType == "graphEditor"
			|| $panelType == "dopeSheetPanel"
			|| $panelType == "clipEditorPanel"
			|| $panelType == "timeEditorPanel"
			)
		{
			$option = $panelType;
			if( $panelType == "dopeSheetPanel" ) {
				$parameter = $currentPanel + "OutlinerSelection";
			} else {
				$parameter = editorNameFromPanel( $currentPanel );
			}
		} else {
			$option = "nodes";
		}
	}
	// determine if anything is selected
	else if (size($selection)){
		$option = "nodes";

		// determine if attrs are selected in channelBox
		string $attrList[] = `channelBox -q -selectedMainAttributes mainChannelBox`;
		string $attrHistoryList[] = `channelBox -q -selectedHistoryAttributes mainChannelBox`;
		string $attrOutputList[] = `channelBox -q -selectedOutputAttributes mainChannelBox`;
		string $attrShapeList[] = `channelBox -q -selectedShapeAttributes mainChannelBox`;
		if ((size($attrList) != 0) ||
			(size($attrHistoryList) != 0) ||
			(size($attrOutputList) != 0) ||
			(size($attrOutputList) != 0)){

			$option = "channels";
		}

	} else if (!size($selection) && $operation == "paste"){
		$option = "nodes";
	}

	switch ($option){
	case "channels":
		if ($operation == "cut"){
			channelBoxCommand -cut;
		} else if ($operation == "copy"){
			channelBoxCommand -copy;
		} else {
			channelBoxCommand -paste;
		}
		break;

	case "graphEditor":
		if ($operation == "cut"){
			performCutKeyArgList 1 {"3", $parameter, "1"};
		} else if ($operation == "copy"){
			performCopyKeyArgList 1 {"3", $parameter, "1"};
		} else {
			performPasteKeyArgList 1 {"3", $parameter, "1"};
		}
		break;

	case "dopeSheetPanel":
		if ($operation == "cut"){
			performCutKeyArgList 1 {"0", $parameter, "2"};
		} else if ($operation == "copy"){
			performCopyKeyArgList 1 {"0", $parameter, "2"};
		} else {
			performPasteKeyArgList 1 {"0", $parameter, "2"};
		}
		break;

	case "clipEditorPanel":
		if ($operation == "cut"){
			doCutClipArgList 1 { $parameter };
		} else if ($operation == "copy"){
			doCopyClipArgList 1 { $parameter };
		} else {
			performPasteClip 0;
		}
		break;
	case "timeEditorPanel":
		{
			// for basic copy & paste support, do nothing here to avoid wrong scene object duplication
			// the code to finish real clip copy & paste job locates inside TtimeviewView.cpp for now
		}
		break;
	case "nodes":
		if ($operation == "cut"){
			cutCopyScene 1;
		} else if ($operation == "copy"){
			cutCopyScene 0;
		} else {
			pasteScene;
		}
		break;

	case "none":
		// nothing selected - nothing required but a warning
		warning( (uiRes("m_cutCopyPaste.kNothingIsSelected")) );
		break;

	}


}