Lucknow

BBD University will be beneficial for you to pursue MBA amongst the two choices you have because the facilities hold the industrial experience as well. So, one would be gaining much knowledge and will have better exposure.
The perks of this institution is that its location is on the main road unlike the latter one.

If you're an aspirant of CS this college would be good for you as it will help you to enhance your knowledge and modify your skills.

BBD University offers you variety of courses and the faculty of this institution focuses on imparting theoretical as well as practical knowledge that broadens your horizons for future endeavors.

You can refer the below link:
https://www.shiksha.com/resources/college-comparison-157743-218960

Lal Bahadur Shastri Institute of Management and Development Studies is an average college. I won't recommend you to join:
https://www.shiksha.com/mba/course/master-of-business-administration-lal-bahadur-shastri-institute-of-management-and-development-studies-lbsimds-lucknow-123090

You should visit HCL IT City in Lucknow. They provide training to the students. Call them and ask about the criteria. My friends are also going to join it. It would be good for you too.

Refer the following link for the same:
https://www.shiksha.com/upsee-college-predictor

Check out the link below:
https://www.shiksha.com/upsee-college-predictor

Getting admitted to newly formed institution is of great risk, I don't know whether they will be good or not.
But, CSE of IIEST, Shibpur is a great department, be its students selected in Google Summer of Code or Linux foundation or be it Microsoft and Google placement offers. But placements are not all about the CODEIIEST society. It is also good which collaborates with Robotics Society -"ROBODARSHAN" or seminars.
It will surely develop and upgrade facilities in the upcoming years.