"Federal law forbids sale or reuse of this bottle" means this is a liquor bottle, probably made before 1964 (source). This makes sense, as "Licorera" means "liquor bottle" in Spanish.
56-44 could be a lot of things, but given the warning and US federal laws governing liquor bottles, I imagine those are a manufacturer permit number and year of manufacture. There's a good list here which, coincidentally, specifically lists "56-44" as an example!
The manufacturer logo is important so I'd have to see a picture of the bottom to give you further details, but my guess is based on that list I linked to this was made by the Owens-Illinois Glass Company in Charleston, West Virginia (permit #56) in 1944 (the 44). Theoretically there should be another number somewhere on the bottle prefixed with a D or R, indicating which alcohol company the bottle was made for. Fortunately for us, it's explicitly stated on the bottle.
"CIA" is uppercase "cía", a Spanish abbreviation for "compañía" ("company"). So this was made for Licorera Matanzas S.A., a prominent liquor manufacturer in the province of Matanzas, Cuba. More information (in Spanish) here and here.
As for what was in the bottle, I can't tell you specifically, but according to the articles above, at the time they were known for their rum.