Hello there,
Since biotechnology is an emerging field, there are less colleges teaching biotech in India. Particularly in Lucknow, there are no such government college for biotechnology, but here's a list of some government colleges offering biotechnology:

1. Indian Institute of Technology
2. National Institute of Technology
3. Delhi Technical University
4. Anna University
5. Institute of Chemical Technology, Mumbai
6.Madurai Kamaraj University
7. University of Hyderabad

Hope this answer helps you.
Good luck!!