Is bba MBA a better match or engineerng MBA?

Well there are lot of things which you can expect from a integrated course:

B.Tech+MBA: will give you dual qualifications. Tech+Management is most desirable profile these days.

B.Tech+M.Tech: Will made u the same field expert. You will be technically sound. But Management factor will miss here.

So my advice to you is that go for UPES,Dehradun as it is the Asia's first energy sector university..