u/Background-Travel295

I have limited experience with rewriting but I understand the basics. I was asked to put in this new receiver (1&2) for a ceiling fan. It seemed easy enough so I thought I’d give it a try. When I opened the fan up the old existing receiver was wired differently (3&4) and threw me off guard.

How would I go about connecting the new one to the existing wiring of the fan? Is there a way to do it or is the best course of action to get a new receiver kit with the appropriate wiring?

To clarify the fan had the same number and color wiring as the existing receiver. Also they were connected with those white rectangle things and not the wire nuts, why is that?

EDIT: Spelling