If we talk about statistics and past records, IIT Bhubaneshwar is a better choice.
IIT’s have the best faculties in the country. The level of research work and the flexibility IITs provide is exceptional. The companies that come for placement purposes are also distinguished from other colleges. The infrastructure at IIT Bhubaneshwar is developed and the campus is very well sustained for overall development.
Since Electrical Engineering has been from the start of IIT BBS, placements are great there. The placements for the early years were not that great but for the last 2 years, the situation is incrementing. In 2019 the placement rate for EE at IIT Bhubaneswar was 86%. The highest package went around 39 LPA by Adobe.
Placements at BITs Hyderabad have been relatively lower with median CTC around 5 LPA and the highest CTC around 14 LPA. Around 94% of the students got placed from the campus last year.
Both the brands are prominent ones, but the level of exposure and opportunities that you will get at IIT Bhubaneshwar may overpower that of BITS Hyderabad.