If you are aiming for CSE at NIT TRICHY and not having home state advantage then you need to score around 280 plus in JEE MAIN.

Visit the below-provided link to check the detailed cutoff rank for NIT Trichy.

Link to the page:- https://engineering.careers360.com/articles/jee-main-cutoff-for-nit-trichy  

NIT Warangal is one of the top NITs so you will have to secure a good rank in Jee Mains. Considering general category, 250+ score is enough to admit in NIT Warangal. For OBC students, There is slightly less score to need like 230+ and 180–190+ score need for SC, ST students. It may be vary depending on question paper and cutoff rank. And of course, you will get some advantage for being home state quota.

Go through the below provided link where you can check previous year cutoff rank for  NIT Warangal.

You can achieve if you work hard and remain motivated & focused till last day of your JEE!!!

All the very best and good luck.