Hello!
BE is bachelor of engineering, that is when you do Engineering from a university that offers degree in multiple courses and not only Engineering, the degree is called BE. BTech is degree in Engineering done from institute/universities specific for Engineering.
For mp be counselling, check out the link below:
https://www.google.com/amp/s/engineering.careers360.com/articles/mp-be-counselling-seat-allotment/amp
Candidates can check B.Tech Cut off for Top IITs & NITs here.
Regular exam updates, QnA, Predictors, College Applications & E-books now on your Mobile