The admissions in B.Tech program in JNTU H is done on the basis of TS EAMCET rank and for NIT-W, you will have to crack Jee Mains exam with required score. Also, if you wish to get seat in NITs, then Jee main application form is going so you can apply for the same. To know more about admission process in both institutes, you can go through the below link-

http://jntuh.ac.in/admissions

https://engineering.careers360.com/articles/ts-eamcet

https://engineering.careers360.com/articles/jee-main-cutoff-for-nit-warangal

Good Luck!!!