XLRI is a really good institute to go for. The ethos, culture, and diversity are all enigmatic. One of my friends studying there suggests that you can learn and grow simultaneously. 

• Placements for non-IT background students are comparatively less. Usually, the domain consultant role is offered.
• These domain consultants also get a chance to go abroad for further work experience. 
• Nowadays, companies are also hiring, even being unsure about the candidate’s past work experience.
• You just evolve as your potential individuality begins to blossom. This is the most significant advantage of being in XLRI. 
• Academics and case studies are generally the same across the board.
• The admissions process is a little stringent and filters out the “right” individuals.

Placement stats:

It is not a disadvantage to not be an engineer. A consulting career requires more analytical ability, business awareness, and thought process. 

All you have to do is work a little harder to achieve your goals. So, go ahead and start preparing for your career and you'll make it. Ultimately your performance will matter rather than being an IT or a non-IT background.