Hi, I have a custom Object B which as two Record types (1 and 2), Now I have added the Object B as a child (Related List) under object A, but what I am looking is to display 2 related list views one of each Record Type under the same object A Page Layout.

I use an app called CMTD Enhanced Related List which is free on the App Exchange. It allows you to add a new related list and filter the records it shows. I use it to show only Active Contracts instead of everything. You can also use it to only show open cases. You should be able to use it to show only records of a certain record type, but I personally haven't tried to do that yet. Good luck!