"He drank three bottles of Baijiu, and he is sleeping now."
Man, this one's a bit frustrating and is why it's so hard to "test out" and jump ahead. I had "他喝了三瓶白酒，现在在睡觉" but it rejected that and said it had to be "他喝了三瓶中国白酒，现在在睡觉" . I think the 中国 in that sentence is unnecessary and also would be much less common to use than what I had. Aiya!!
It comes in small bottles too you know. In fact typically it comes in smaller size bottles than distilled liquor in the uk does. My first experience of 白酒 was in a bottle the size and shape of a hand grenade. I don't rate that brand though. Guizhou produces some of the best 白酒 in China.