As you have asked about the courses offered by Indian Institute of Management Calcutta (IIMC) and Xavier Labour Relations Institute (XLRI), I am giving you information about it, check below for the details

XLRI offers following programs:

Full-time residential MBA

General Management Programme (PGDM-GM) – 15 months
Business Management (BM) – 2 years
Human Resource Management (HRM) – 2 years
Global Business Management (Global BM) – 2 years

Research program

Fellow Programme in Management (FPM) – 4 years

Masters program

Masters Program in Positive Organization Development & Change (MPOD), offered jointly by XLRI Jamshedpur and Case Western Reserve University's Weatherhead School of Management (Cleveland, USA) - 15 months [19]

Executive programs

Executive Fellow Programme in Management (Exec-FPM)
Executive Post Graduate Programmes (Exec-PGP) in India, Dubai, and Singapore – 3 years
Post Graduate Programme for Certificate in Entrepreneurship Management (PGP-CEM)
Post Graduate Certification in Agri-Business Management (PGCABM) – 6 months (Ikisan Ltd. and XLRI Joint Management Program)
Post Graduate Certification in Business Management (PGCBM) – 12 months
Post Graduate Certification in Logistics and Supply Chain Management (PGCLSCM) – 12 months
Post Graduate Certification in Human Resource Management (PGCHRM) – 12 months
Post Graduate Certification in Retail Management (PGCRM) – 12 months
Post Graduate Certification in Sales & Marketing Management (PGCSMM) – 12 moths
Executive Diploma Programme in Human Resource Management – 12 months
Post Graduate Diploma in Business Management (PGDBM) in Singapore
General Management Programme for Defence Personnel
Management Development Programmes
International Student Exchange Programme

IIM Calcutta offers following programs:

PGP
Post Graduate Diploma in Management (PGDM)

PGPEX
PGPEX (Post Graduate Programme for Executives)

PGPEX-VLM
Post Graduate Programme for Executives for Visionary Leadership in Manufacturing

Fellow Programme in Management (FPM) – Doctoral programme
Post Graduate Diploma in Business Analytics (PGDBA) – Two years, full-time BA programme

Other Programmes:

Executive Education: Management Development Programmes (MDP) and Custom Corporate Programmes
Management Programmes for Armed Forces Officers (AFP)
Distance Education programmes via technology/platform partners such as HughesNet Global Education and NIIT Imperia
Research and Consultancy programmes