Hello!

Based on past cut off records of NIT Calicut and rank secured by you in OBC category, the branches you may get under Other state quota are, Civil Engineering, Engineering Physics, Mechanical Engineering, Chemical Engineering, Biotechnology Engineering, Production Engineering. 

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

These are just predictions, you will get any branch based on this year's cut off only.