How many kind of MBA in finance are there? What is the job scope? Which University Provides the best MBA program for finance?

The best might be a masters in finance rather than an MBA. Where do you want to work?

I am currently doing BBA in Nepal. It will over in a year now. I was focusing to study at US. So Should I still opt for masters in financing or do an MBA?

Yes, because most MBA programs look for students with a lot of work experience, a masters in finance might be more realistic. Here are some suggestions: https://www.cfainstitute.org/community/university/Pages/cfa_program_university_partners.aspx

Also see today's new ranking: http://rankings.ft.com/businessschoolrankings/masters-in-finance-pre-experience-2016

Thank you