As you have asked about the institutes offering MBA in sports Management, I am listing them below

Alagappa University, Karaikudi, Tamil Nadu, provides one-year PGDSM (Post Graduate Diploma in Sports Management)

Indira Gandhi Institute of Physical Education and Sports Science, New Delhi; provide one-year PGDSM (Post Graduate Diploma in Sports Management)
IISWBM - Institute of Social Welfare and Business Management provide a one-year full time Post Graduate Diploma in Sports Management
University of Technology & Management (UTM), Shillong, Meghalaya offer - 1 year PGDM Sports Management

International Institute of Sports Management (IISM), Mumbai offer – Three year BBA in Sports Management,

One year full-time Post Graduate Diploma in Sports Management (PGDSM),
Two year full-time MBA in Sports Management)
National Academy of Sports Management (NASM) offers two year MBA in Sports Management,

three year BBA in Sports Management,
one year Post-Graduate Diploma in Sports Management (PGDSM),
one year Diploma in Sports Management
Centurion University of Technology and Management, Bhubaneswar in collaboration with Sports Education Development Australia (SEDA) offer two year MBA in Sports Management