There is a White victory in the Russian civil war.
Georgian Bolsheviks return to their homeland over the years, and become organized under Stalin's leadership. He retains his contacts with the criminal underworld from his days as Lenin's right hand man in the Caucasus and leader of "expropriations" for the Bolsheviks, and builds a formidable mob to enforce his interests. By the late 20s the Stalinists become a mass movement combining Bolshevism with Georgian nationalism.
Georgia is forced to cede territory to Turkey and Russia.
OTLs Democratic Republic of Georgia before annexation by Soviet Russia:
After a failed coup by conservative forces, the Stalinists seize power from the Menshevik regime and proceed to destroy all opposition.
The country is ruled in a similar fashion to OTLs Communist Albania. After a brief power struggle, Beria is purged as a Turkish agent. In the late 30s, Russia again falls into disarray after a defeat by Japan. Stalin's goal is to recreate a Transcaucasian Union under his control, but he has to find a way to deal with Turkey.