Hello Divyanshu, You can compare both the Colleges on various parameters.

Motilal Nehru Institute of Research and Business Administration, University of Allahabad
It is a public/ government owned co-ed college.
The course that it provides is MBA with a total fees of ₹ 77.76 K.
Facilities provided are library, sports, IT infrastructure.

They have an independent training and placement cell, headed by a professor in-charge.
The cell conducts placements interviews and training programs throughout the year. It is done by collaborated efforts of Training and Placement services and Industrial Interaction Committee.
Their main recruiters are:
1) ICICI Bank
2) Prism Johnson
3) ITC
4) Medha
5) Idea cellular
6) IDBI Bank
7) BHEL
8) Bajaj
9) ICICI prudential
10) TATA Steel
For any further information, visit their official website: https://www.monirba.com/#

STEP- HBTI
Science and Technology Entrepreneur's Park (STEP) is a project sponsored by HBTI, Kanpur.
Facilities provided in the college are:
Library
Computer Lab
Canteen
Banking facility and Health service
Seminar Hall

The college offer both MBA and PGDM with a duration of 2 years each.

And their total fee structure is around ₹2,20,000 and ₹ 3,50,000 respectively.

They also have an independent placement committee, dedicated towards building some young professionals.

Placement Recruiters in 2017
1) ITC
2) BYJU's
3) Airtel
4) Vodafone
5) Jeevansathi.com
6) Europages
7) Artech
8) RSPL
9) HDFC
10) Just Dial

According to the NIRF 2019 report, on the official Website of STEP- HBTI, the PG (2 years) median package is ₹4,60,000 [2016-17].

For any further information, visit their official website: https://www.stephbti.ac.in/index.php

All the best!
I hope this helps.