Considering your rank you seem to have a fair chance for admission in these colleges in the mechanical branch.

Dr. Ram Manohar Lohia Avadh University, Faizabad

Azad Institute of Engineering and technology, Luckhnow

Shri Ram Murti Smarak College of Engineering and technology, Luckhnow

You can use the link below to explore more options. Best of luck!

https://engineering.careers360.com/articles/upsee-cutoff