One of my friends, who attended IIEST, says that IIEST Shibpur will be a better option than IIIT Vadodara. He also mentions several reasons why. Here is what he has to say,
Institute of National Importance:
IIEST Shibpur is amongst the very few institutes that are at present recognized as an “Institute of National Importance”. There are various other institutes competing for the same status, such as BHU, Jadavpur University, CUSAT, COE Pune, Osmania University, AMU, Andhra University, and more.
Alumni Base:
The institute has a legacy of over 160 years with a wide alumni network spread across the globe who are now engaged with top engineering companies in places like US, UK, Canada, and India as well. A few of them are Dr. Bimal Kumar Bose (USA), Dr. Fazlur Rahman Khan (USA). The directors of IIT Kanpur, IIT Guwahati, NIT Rourkela, and the Vice-Chancellor of SRM University are some of the institute’s alumni.
Several IIEST Alumni from USA, UK, Canada, Europe, Australia, Singapore and Japan also come forward to help regarding cases like Scholarships, Travel Grants, Sponsored Research, Chair Professors, and others to develop the institute more.
Collaborations:
Besides, IIEST Shibpur also collaborates with various top US universities, such as University of Illinois, Urbana Champaign, USA, and University of Wisconsin - Madison USA. It collaborates with top leading universities from places like the USA, UK, Canada, Japan, and Australia to help students pursue their studies abroad.
Having said that, you can visually determine that IIEST Shibpur can be considered better than IIIT Vadodara. It is also partially because IIIT Vadodara is relatively a newly built institute still establishing many sections under it.