Hey there!
BIT Mesra is better in terms of infrastructure, facilities, faculty and placements, when compared to IIIT Lucknow. BIT Mesra is older as well whilst IIIT Lucknow is newer. For more information regarding the two colleges, you are advised to visit the following links:
https://engineering.careers360.com/articles/jee-main-cutoff-for-iiit-lucknow
https://www.careers360.com/university/birla-institute-of-technology-mesra
Hope this helps. All the best!
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