Upvote:2
There is no baggage transfer from Airside. You need to collect the bags yourself, which requires entering oman, which requires a visa. Even if bag transfer is allowed, Indigo will refuse boarding as you are on two different tickets and you don't have a visa for Oman.
You can take a visit visa. Transit visa is no longer provided, as per this answer - Can I apply for a transit visa in Oman? . From the answer, the process is quick.
You can apply here. https://evisa.rop.gov.om/