Hello Abhishek,
No, B.Ed is not compulsory for Becoming Private or Government Lecturer. If you want to become Teacher then it is compulsory. But you want to become Lecturer so it is not mandatory.
You need to have minimum 55 percentage in Master's degree and you need to qualify in NET UGC/ SLET or relevant exam and then you can apply for Lecturer post in any College or University.
Go through below link to get more information about UGC NET eligibility criteria.
https://www.google.com/amp/s/competition.careers360.com/articles/ugc-net-eligibility-criteria/amp
Hope this helps.
All The Best!!
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