Greetings to you!
Yes, you are eligible for appearing in the entrance exam conducted by the Forest Research Institute for admission for post graduation in the following courses :-

• Forest Management
• Silviculture
• Forest Products
• Commercial Forestry
• Forest Economics
• Wood Science and Technology
• Wildlife Science
• Agroforestry
• Tree Genetics and Breeding

The basic eligibility criteria for appearing in the entrance exam is a three year bachelor degree in the science field in one of the subjects including Botany, Zoology, Chemistry, Geology, Physics, Agriculture or Forestry.
Even B. Tech or B. Sc. (Hon.) in Biophysics, Biochemistry, Microbiology, Agricultural Biotechnology can also be put up into consideration.
And to add more knowledge to this and help you find scope, you can also opt for other certificate and diploma courses in Forestry like:-

• Certificate course in Wildlife Management
• Diploma in zoo and Wildlife Healthcare
• Post Graduation Diploma in Forestry Management (PGDFM)
• Post Masters Diploma in Non-wood Forest Products.

I hope this answer helps you clarify your doubts regarding the question.