Is it correct?
Not bother with/about

He didn't bother with a reply .(Does it mean that he didn't even put an effort or serve an effort to reply .plz first tell me٫ Am I wrong or right then tell your explanation .tnx)

Question

Is it correct?
Not bother with/about

He didn't bother with a reply .(Does it mean that he didn't even put an effort or serve an effort to reply .plz first tell me٫ Am I wrong or right then tell your explanation .tnx)

Answer

In this context, "he didnt bother with a reply" means he didn't send a reply.
General context of not being 'bothered' is or lack of caring or as you put it, a lack of effort

Answer

I think that it is correct.

Answer

'He didn't bother with a reply' is fine. It is quite informal, but a normal thing to say.
And you are right that it means that he didn't put any effort into making a reply.