hi,

see every organization have some rules and criteria to hire candidates, since you have a decent gate score and you have done mtech from vnit you have decent chances for selection, however being a faculty you also need to have good communication skills, problem solving skills, have the ability to take class for a long hour. right now in most of the coaching institute provides crash course and classes will be almost 8-10 hours duration. I suggest you also try for private colleges for assistant professor or lecturer position  besides coaching institute.