Dear Student ,
here is the name of some colleges excluding IITs that offers M.tech after M.Sc courses through GATE .

• NIT Trichy
• NIT, Rourkela
• BITS
• Chandigarh university
• College of engineering, Anna university
• Jadavpur university
• Thapar institute of engineering and technology
• Vellore institute of technology  and others

To know more about GATE exams , refer this :

https://engineering.careers360.com/exams/gate

Hope this answer helps !