As you have asked about the list of Universities approved by University Grants Commission (UGC) offering distance learning MBA programs, I am mentioning them, check below for the details

Symbiosis Centre for Distance Learning, Pune
Indira Gandhi National Open University, New Delhi
ICFAI Business School, Hyderabad
Institute of Management Technology, Ghaziabad
Sikkim Manipal University, Sikkim
Amity University, UP
Annamalai University, Tamilnadu
Alagappa University, Tamilnadu
Bharathidasan University – Centre for Distance Education
Maharshi Dayanand University, Rohtak
All India Management Association, New Delhi
Indian School of Business (ISB)
University of Delhi Delhi/NCR, India
University of Mumbai Mumbai, India
University of Pune Pune, India
Bangalore University Bangalore, India
University of Madras Chennai, India
Shivaji University Kolhapur, India
Lovely Professional University - LPU Jalandhar, India
PTU - Punjab Technical University Jalandhar, India