B.Tech Agriculture

Bharati Vidyapeeth University, Pune and College of Agriculture, Pune are some of the colleges offering B.Tech agriculture.

Bharath University Chennai is best according to NIRF rankings and fees are low when compared to Saveetha.
proof1:https://www.nirfindia.org/2018/OverallRanking.html
Proof num2:https://www.nirfindia.org/2019/UniversityRanking.html

Yes, you can opt for B.Tech agriculture through CG PAT if you score good in CG PAT.
Good luck.

B.Tech in Agricultural Engineering (B.Tech AE) is a 4-year undergraduate course in agricultural studies and processes. The minimum eligibility for this course requires passing class 12th/ Higher Secondary Examination in biology, maths, and chemistry. Click the link below for the colleges that provide B.Tech AE:
https://www.shiksha.com/b-tech/colleges/b-tech-in-agriculture-farm-engineering-colleges-india

Check the eligibility Criteria and other details through this link : https://www.shiksha.com/science/course/diploma-in-nautical-science-tolani-maritime-institute-talegaon-dabhade-pune-251327

You'd better collect good material, by referring to various books. Then, you can get an excellent rank. Depending on one book may not be sufficient.