I’m sorry, but that’s not the answer we were looking for.
And for the record – I’ve never heard of a drink called “The Big Red Machine”. Is that a regional thing?
(I believe that @Bicycle_Bill may have been referring to the “Harvey Wallbanger,” a mixed drink which was the basis for the nickname of the Milwaukee Brewers (“Harvey’s Wallbangers”) in the early '80s, when they were managed by Harvey Kuenn, and hit a lot of home runs.)
There’s a regional soft drink around the northern KY / southern OH area called “Big Red”. I’m not sure that the “Big Red Machine” was an allusion to the soft drink to the same extent that “Harvey’s Wallbangers” was for the early 80’s Brewers, and in any case I don’t think that Big Red qualifies as a Potent Potable.