Minimum educational qualification for Indian Forest Service Examination:

The candidate must hold a Bachelor's degree with at least one of the subjects namely Animal Husbandry & Veterinary Science, Botany, Chemistry, Geology, Mathematics, Physics, Statistics and Zoology or a Bachelor's degree in Agriculture, Forestry or in Engineering of any of Universities incorporated by an Act of the Central or State Legislature in India or other educational institutions established by an Act of Parliament or declared to be deemed as a University under Section 3 of the University Grants Commission Act, 1956, or possess an equivalent qualification.

So you are eligible if your college/university is UGC recognized.

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