What is the cut off rank to get btech in CSE in MPSTME,NMIMS through NPAT?

It entirely depends on the vacancy. There is no such cutoff system. If you can secure a good rank, i.e. within the top 300, then you can go for the CSE branch. Otherwise, it entirely depends on the vacancy. If you get a rank of around 1500-3000, and you want  IT or CE, chances of getting admission are low, as most students choose these courses. However, in the counseling, they give a form in which you can fill out your choice of branch and if there are any vacancies later, you can upgrade your branch.