We had a similar thing in ex-Yugoslavia (as well during communism). It was also the vouchers, "popularly" called the dots.
I.e., one dot would be for 1/4 kg of bread for a family of four per day.
The meat was similarly limited, but the bigger problem was (even if one would have enough dots) finding it at all, especially beef, pork, and chicken.
(In the early times after the II WW, 1945-1955, they cutted the connections between countryside and towns. There was some kind of a border between the two, so even if you had family or friends on the other side with farms, they wouldn't be able to help as passing the "border" was not allowed almost at all. Just in rare cases, with special, hard-to-get allowances, and then the person would be heavily searched. One of those crossing points was near one of our today's apartments, as at that time, it was the suburb of the city.)

Same as in Poland, the black market was blooming.
My mom said when my sister (my oldest sibling) was born (1945), there was no milk to buy, and my mom didn't have milk to breastfeed her, so the first couple of months, they fed her with chamomile tea. My mom was always saying that she didn't know how she (my sister) survived at the end.

My grandma said they actually forced them on the black market profiteers and all sorts of smuggling around, in both cases being in danger of getting caught, imprisoned, or even killed.
My grandma told me she was catching pigeons to prepare them as chicken.
Once, as there wasn't some normal (beef, pork, or chicken) meat, my mom on the black market found and bought some horse meat. As my father wouldn't eat it if he knew what type of meat it was, my mom and grandma agreed not to tell anyone what they were actually cooking.

Sometime later, when my mom's friend asked her how they were surviving all of this (lack of food, and especially meat), my mom told her, "I'm just waiting for my household members to start neighing! (like horses)