This would certainly not be easy for a non-engineer fresher to get management consulting roles in firms such as Accenture, McKinsey, Deloitte, EY, Capgemini etc.
Even if some companies do offer such roles, they care about your academics in your MBA, your work experience, your personality, and your background. They want to know if you are an engineer or not, they also want to know if you know about IT or not. There are various rounds of interviews lined up to test your skills and abilities.
So, yes there will be scope especially in IT consulting roles from these institutes. All you have to do is give your best efforts and leave the rest on the companies to decide what kind of professional they want.