u/GreenComplex3294

One of my kitchen cabinet door hinges has broken. I am unsure of the best method to repair this. I am able to slide the metal piece attached to the door back into the piece attached to the cabinet, but I can tell it’s definitely not supposed to be like that because my other cabinets don’t come apart. Does anyone have any suggestions? Or know the style of hinge this is? I’ve tried googling it, but I’m even more confused now than when I started.

Thanks!