Hi Rahul Kumar.

MP BE admission does not include any examinations. The counselling is conducted based on you JEE Main ranks. So, you have to apply with your JEE Main roll number. (So, you have to write JEE Main). The application procedure will start by mid June. If any seats are left vacant, the board marks will be considered for admission to those seats.

https://engineering.careers360.com/articles/mp-be-admission?icn=mp-b.e-admission_article&ici=mp-b.e-admission_exam_rdmrvp

Refer this article for more details.

Good Luck.