I accidently broke the flip latch for this connector

I assume you are referring to the battery daughter board to the logic board ribbon cable latch, aka FPC Connector. I just broke mine during my battery replacement and now the logic board does not see the new battery. I spoke with an authorized Apple repair center and the tech told me that Apple’s solution is to replace the entire Logic Board.  The tech told me he has tried soldering a new FPC connector on and it is very difficult and often not successful. Here is a YouTube video link showing a generic small FPC connector repair “https://www.youtube.com/watch?v=KmiPyCyw...”. I do not have the skill nor microscope et al needed to do this. I am going to try a “jury rig” by sliding a small piece of plastic into space between the ribbon cable and broken FPC connector before buying a new logic board. I will probably fail.

Thanks for the reply Dan. In my case, it was the larger of the two connectors for the battery daughter board to the logic board ribbon cable latch. The one closest the battery disconnect screw. If you could tell me the part number and the manufacturer of this FPC connector and a source (e.g. Mouser, DigiKey etc. etc) I will get a replacement and give it a try.