Hello. Thank you for contacting the Toolset support.
Well - I see you want to export Types data, Are you using any plugin to Export Types data Or any other plugin? Can you tell me what exactly step you followed to export the Types data?
I see you are already running with Types version 3.2.7, so the old relationship should be migrated. If you go to:
=> Toolset => Relationships - have you migrated to new relationship?