Chosen Solution

Unfortunately, the 2DS XL was made to be cheap. As such, it seems that it is incredibly easy to break, both playing with it and during repair. Unfortunately, the latter situation has happened to me. I disconnected these two cables that go to the bottom screen in order to clean the bottom while replacing a top screen, however I managed to break them during the process due to them being incredibly flimsy. Now, the two cables which they connect can no longer be connected to the board. That being said, I am unaware of any workarounds or any replacement parts for these connectors in particular. Any help is appreciated, thank you.

@theflamethrower looks like you tore off some solder pads as well. You can always get a used broken board and harvest the connectors from there. Just remember that you will have to either rebuild the traces/solder pads or place jumpers. Taping/gluing etc will not work and the connectors require to be soldered properly to the board