Yes of course there is a reservation for all the backward classes in all the streams.. So in bachelor of ayurvedic medicine and surgery course also you will have reservation for OBC category. You will have a bit lesser cutoff than the general category with a certain amount of seats reserved for your category in the colleges.

Refer to the website below for more detailed information...

https://medicine.careers360.com/articles/bams

https://medicine.careers360.com/colleges/list-of-bams-colleges-in-india

https://medicine.careers360.com/colleges/list-of-bams-colleges-in-karnataka

Best wishes. Thankk you.