Hello sarvagya !! Best colleges for btech mechanical engineering lateral entry are :

1.Ramaiah Institute of technology

2.REVA University

3.SIT

4.Jain university

5.Dayananda sagar Academy of technology and management

6.LPU

7.Presidency University

8.MIT,bits pilani,CMR institute of technology.

All the best !!

Hello dear aspirant.

I think that you will be well aware that IITs and NITs and CFTIs areo top . After that private colleges and universities are also very good but you should go for your regional good colleges.

Universities like

Lovely professional University, bits Pilani , GLA UNIVERSITY Mathura etc

Hope you get it.

Good luck