Probably not but it may be useful if you want to be a professor, and should prepare yourself to do a Ph.D. from a more reputed university.
BE will help you understand the theory which you can ten implement practically. ME or M.Tech is basically for shifting to the teaching line. Though there are some specializations that will equip you with deeper technical knowledge.
During placements, you will have an edge over BE candidates. Students graduating with ME or M.Tech generally go for Research and Development.
Post Graduation has an advantage but for a corporate job, being a BE or B.Tech graduate, you can also apply. Studying 2 more years is a choice that varies from student to student. There is no right answer so, choose to do whatever you feel will be suitable for you.