In alcoholic drinks, it refers to a low sugar content. I figured even if this was not in America, it probably would still say "low sugar" or "sugar free" like it does here, but the other reply makes me think that isn't that case, and this DOES refer to it having a low sugar content in other parts of the world.
Wait is dry actually related to sugar content? I mean it makes obvious sense now that you said it but I'm so used to using dry/sweet for wine based on the taste and never really made that connection that it was sweeter because it actually had more sugar, I guess I thought it was pixie dust making it sweeter.
Dry is used both for the sugar content and the mouth feel from tannins in wine, but yeah, it's usually referring to the residual grape sugars left after fermentation. Dry = low sugar,