To get admission in any college of Maharashtra to persue BVSc courses, you need to give National Eligibility cum Entrance Test (NEET). Cut-off marks vary year to year according the number of participating candidates  and leval of exam.

In 2021, you should score 350+ to get a good BVSc college in Maharashtra as a UnReserved candidate.

There are many good colleges near Latur, some of them are -

1. College of Veterinary and Animal Sciences, Latur

2. College of Veterinary and Animal Sciences, Udgir

Hope it helps!