AC its just post ww2 branding. When the Soviet military looked around for people it could trust it had to find people who where not killed by ww2 "Fascist" Germany and would want to support East Germany. A bit like the Neocons/Trotskyist in the USA - you work with what you have and shape it over a few generations.
Fascist as a slogan solved all the generational ww2 problems for the emerging East German. Every old person was tainted by it. The next East Germans could be seen as safer as they where shaped by the new gov. In this role of undoing the harm "Fascist" Germany had done to Germany, wider Europe and Soviet Union great care was taken with domestic branding to make young and old understood what the price of rebuilding from rubble was all about - stopping "Fascist" Germany from reforming and going to war again.
The old people just wanted to forget the war and rebuild, the young people on average thought a new nation not at war was a nice change considering what Germany was like.
So to an average outside person looking in, reading books and picking up words you would see the terms "Anti-Fascist" a lot. You would see aid to Africa/Asia as been socialist. You would read about East Germany spending vast sums on support to back "socialist" revolutions, science, sport, space.
Deep down the Stasi knew the truth. The Soviet Union was paying real cash to rebuild East Germany, they where always going to be in debt, a post ww2 political bargaining chip.
The slogans fooled the West, the public, a few AC's on slashdot and provided nation building. The Stasi understood reality they where in - they needed real hard currency, needed to rebuild and needed to project a nation of science, wealth, sport, 3rd world aid, space science, nuclear power... but had no cash, just huge loans and some export deals with huge sneaky Western brands seeking very cheap workers. The Stasi also worked out one vital fact. The Soviet Union would never protect them long term, East Germany was for sale to the West. Price was the only question. So the Stasi worked hard to keep their power knowing their nation was all they had. Anti-Fascist aspect kept Russia happy and Russian support flowing, "socialist" worked well in their part of the world. The rest is just West Germany playing its own games with the US and UK for extra support. The real "Fascist" escaped with Operation Paperclip https://en.wikipedia.org/wiki/...
, worked without issue in West Germany or at a low level faced tame courts many years after ww2.
In the East Germany they just replaced the old uniforms, found new songs and added new colors to the mass rallies with new "socialist" books to quote.
There is often a lot more behind terms like "Anti-Fascist Protection Rampart" than just found in "Cold" War history books AC.