Some of the colleges in Chennai and Tamilnadu offering admission to BE/BTech via lateral entry are:

1. Kongu Engineering college
2. Meenakshi Sundaranjan Engineering college
3. Panimalar Institute of Technology
4. Allagappa Chettiar Government college
5. Saveetha Engineering college
6. Govt college of Engg, Karrupur
7. COE, Guindy
8. Shi Krishna college of Technology

I hope this answer helps. All the very best for your future endeavors!