Hi @venu18 , 

Try to add some log statements (or) info messages to check business rule is executing from that user profile. Generally Group table read(or) write ACLS limited to particular roles. Check ACLs on the incident and Group table by enabling debug security rules.

Please, don't forget to mark my answer as correct if it solves your issue or mark it as helpful if it is relevant for you!

Thanks & Regards,
Sumanth Meda