You should choose according to your career plan. M.Tech in Design is a core field of engineering. This branch will be better if you plan on pursuing a Ph.D.
If you want jobs with good salary packages, Industrial Engineering from IIT BHU will be better. Scop of Industrial Engineering is pretty good in India. Students of this branch get job opportunities from sectors like delivery/logistic companies, eCommerce sites, textile industries, FMCG, and manufacturing. IIT BHU offers a median CTC of around INR 15.1 LPA to the students of this branch.
The course of M.tech in industrial engineering from IIT BHU should be preferred if you are looking for a good job at the end of your program. The institute provides an ample amount of opportunity to students for placements and offers good packages. In 2019 the average placement package was 8.19 LPA.
On the other hand, Designing is a core branch in mechanical engineering. You should opt for M.tech in design from IIT Bhubaneswar only if you are interested in pursuing higher studies after the completion of the program. The placement of the institute is decent. According to 2019 placement statistics, 68% of M.Tech students got placed. The average CTC offered was around 11.44 LPA.