As per the internet, IISER KOLKATA in collaboration of CESSI offers this MS Astrophysics with research course. The Institute offers some fellowship and the admission is provided on the basis of both GATE and JEST.

Apart from this I don't get any other IISER's matching with the course description.

To know more about the IISER kolkata course visit the link below:

https://apply.iiserkol.ac.in/mss/

I hope this answer helps. All the very best for your future endeavors!