AACSB built its accreditation process around the goal of creating and supporting the next generation of business leaders. This board provides quality assurance, business education intelligence, and professional development services to member institutions.

ACBSP was developed to accredit programs, including those offered at two-year institutions like community colleges with a teaching (rather than research) emphasis.

Hi

It is the Association to Advance Collegiate Schools of Business International (AACSB).  - Voluntary and Non-governmental accrediting agency.

Those programs having this accreditation makes them a part of some of the best elite group programs. It is not easy to get this accreditation as it is known for its very high standards worldwide.

Other business school means it includes those which doesn't have been AACSB ACCREDITED.

And so here's a answer to your question:- Without a doubt AACSB ACCREDITATION Business schools are far more better.

There are many criteria on basis of which one decide suitable colleges . As you not mentioned your key priorities , lets talk about some key factors .

1. IFIM , BANGALORE

IFIM Business School, Bangalore, is currently amongst the top 6 Business Schools in India to have been awarded the AACSB accreditation.

PLACEMENT - highest package in IFIM is around 19 lakh and average package is around 8 lakhs .

FEE - fee for MBA is around 16 lakhs

2. SIBM , Bangalore

PLACEMENT = highest package was around 32 lakh and average was around 20 lakh .

FEE- fee here is also around 16 lakh but varies from traid to traid .

Other colleges facilites like gym , canteen ,hostel facilities are also available in both the colleges .

you can also have a closer comparison on two colleges with the help of career360 college comparison tool .

here is the link

https://www.careers360.com/compare-colleges?college=419-6503-course=0-0