I think that would be down to how that module is loading the scripts it needs for that...

Can you give me (super) admin and (s)ftp access so I can take a look?
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Advanced Module Manager loads the Joomla core javascript files to deal with the ordering in the repeatable fields (part of the assignments set), like:
The CF Filtering module seems to create its own sorting thing, not using the javascript files available in Joomla itself.
However, it does give the elements classes like "ui-sortable", which trigger the jquery.ui.sortable script.

And these 2 conflict with each other.

Not anything I can do to prevent that from my side.

I would advise the devs of the CF modules to simply use the sorting elements and scripts that are in Joomla already. Instead of loading their own scripts that conflict with these.