More info needed!
For a part-time MBA I’m not sure whether you’d be eligible for the same recruiting pathways as a full-time IIM grad (e.g., on-campus recruiting).
Nevertheless, if your engineering experience is with a name brand company and you have some management expertise, they may still be willing to hire you into a post-MBA role.
I’d strongly recommend reaching out to recruiters in your local office (to understand the current recruiting situation) and consultants (to secure a referral).
Happy to help craft your CV/narrative if helpful.