What after Production engineering?

Chemical Engineering is mainly based on Chemical Reaction Engineering. It is the things which happens inside the production reaction ( Which is what they do in production engineering but not in the...

Mechanical Engineering it pays more.

I don't see why not. Lots of engineering jobs overlap, but to be sure I'd check with more knowledgeable people on the subject (i.e. track down an aeronautical engineer, ask him)

as the syalbus is same so we can say tht it is similars

Manufacturing engineering is the work done to determine the method of manufacturing and Production engineering is how to actually accomplish that method of manufacturing.