These are cheap, really common wood salt and pepper sets. The salt shaker's fill hole is threaded, but the cheap stopper it came with was blow molded, and after a few years, it started to tear with the torque of screwing it in. Before I got a 3D printer, I filled the old part with epoxy clay, and it worked okay. But this was one of my first practical repair parts I printed with my original printer (a TronXY X1). 

It seems likely this plug will fit a fair number of different salt shakers. The bore hole diameter is 22mm, and the thread pitch is 4mm.