Display content referring other content in a mapping table
I don't think you can build that with views or another UI tool just by clicking it together.

It should however not be too complicated to build with a but of custom code.

You need to build an entity query that gets all TypeA nodes, another one that gets all TypeB nodes, loop over Type, and for the columns, loop over the Type B and check if you have a reference for them in your field.

IMHO writing out the full code is too much for a single question, I suggest you get started and if you have problems, ask specific questions.

Obviously that table will get huge if you have a lot of nodes of either type or even both.