Hi Vasavi,
It seems to me like the submit data connection is not the root of the problem. The mapping.xml will also (slightly) change, even if your list has all the same columns in the new site. The reason is that the mapping.xml uses the Sharepoint internal GUID for the list, and this GUID will be different in the new site.
Having said that, you can always load the mapping.xml into the Mapping tool that comes with qRules, and edit it so that it points to the new site and new list. You would also need to modify the form so that the submit data connection points to the correct lists.asmx web service. Unfortunately, I don't know of a workaround for this. Sorry!