Yes, MP is a participating state in JEE Main.

You have to appear for JEE Main in order to take admission and counselling will be held seperately.

You can check the top colleges for engineering in MP below

Shri Govindram Seksaria Institute of Technology and Science, Indore

Institute of Engineering and Technology, Devi Ahilya Vishwa Vidyalaya University, Indore

Jabalpur Engineering College, Jabalpur

Lakshmi Narain College of Technology, Bhopal

Barkatullah University Institute of Technology, Barkatullah University, Bhopal

Gyan Ganga Institute of Technology and Sciences, Jabalpur

IES College of Technology, Bhopal

Institute of Engineering and Science, IPS Academy, Indore

Jiwaji University, Gwalior

Lakshmi Narain College of Technology and Science, Bhopal

To check complete list you can refer below link

https://engineering.careers360.com/colleges/ranking/2017/top-engineering-colleges-in-madhya-pradesh-accepting-mp-be-admission-score

To check the cut off of the colleges you can refer below link

https://engineering.careers360.com/articles/mp-be-cutoff

Good Luck!!