If the baby was born in India and the father is in Qatar at the moment, then a letter from the Indian Embassy is required which will state your NRI status.
There is an application form to be filled up.
Submit it along with your PP/RP QID copies.
You will get the letter by 4 working days
Send it to India and apply for babys passport there.
Ofcourse you will need BC copy, MC copy and babys mothers identity proof.