Colleges in Punjab

CAT cut-off is 80 percentile and above. You can apply for admission in MBA. The eligibility criteria for the programme is:
Pass with 50% aggregate marks in Bachelor's degree or equivalent.

You can use Shiksha's college predictor tool:
https://www.shiksha.com/b-tech/resources/jee-mains-college-predictor

Yes, they do get placed abroad. According to a recent social media post that I came across in FB page of Thapar Institute of Engineering & Technology, their students got placed in University of Malta, KPMG, Crimsonwing, etc. Their placement are global just like their teaching pedagogy.

But it doesn't have any recognition of UGC or any standard

No, there is no need to do something else, just complete your B.Sc. and after it, you can go for M.Sc in astrophysics.

Try Thapar Institute of Engineering & Technology. They have BTech lateral entry in Chemical engineering, Civil Engineering, Computer Engineering, Mechanical Engineering, Electrical Engineering, Electronics & Communication Engineering. Their 2018 admissions are on, you can check their website wwww.th