Does SAP provide ASP GSP connector, If Yes, what exactly that is?
if no, then i believe it should be available with third party. Can you please suggest which one is good?
Have a look at OSS note 2386062
Perhaps, you need to explain what do you mean by ASP GSP ? Are you asking about certain legal forms being used when export sales made from India ?
No, for the purpose of filling GST return Indian Government has appointed several Service Provider known as ASPs.
ASPs work is move transactional data to GSTN website, pulling back auto populated data filled by suppliers/service provides, reconcile it etc.