two and barbecue other. in the phrase go two and barbecue, to be defeated in the first two games of a double-elimination tournament. (source: Double-Tongued Dictionary)
Further reading
An anadrome is a word that forms a whole new word when you spell it backwards. For example, the word “stressed” spelled backwards is “desserts.” Some people’s first names are anadromes. There’s the girl named Noel...
For rock climbers, skiers, and other outdoor enthusiasts, the word send has taken on a whole new meaning. You might cheer on a fellow snowboarder with Send it, bro! — and being sendy is a really great thing. Plus: a nostalgic trip to Willa...
Perhaps an extension of the single-elimination version one and done?
Many recipes for BBQ involve cooking the meat twice. For example steaming the meat first to tenderize it before further “flavor cooking” over a flame.
Perhaps that could have something to do with its origin.