If young people do like to have a beer together in public parks in Donetsk like elsewhere in Ukraine, that doesn't mean that there are no fancy bars and venues in town. We tried this one which is named the Biker's Club, I think it's an offshoot from the nearby Chicago Club, a big high-end Disco where many different types of events can take place.
Chicago is a night spot large enough for hundreds of persons, it has a top-of-the-art sound system and hosts a lot of partying events or concerts. There's always a bunch of sleek cars parked in front, but the young people here come from all the parts of the society, you just come here to relax, drink a few beer and listen to music.
International music stars come at Chicago like here earlier this year techno king Stephan Bodzin (see this Donetsk show video). The Chicago night club was built maybe 10 years ago and it is considered also as has having the best strip-tease shows in town (no picture, sorry, but Ukrainian girls rock...).
When we visited the Bikers' Club next to the Chicago Club, we just walked in and sat along a thick wooden table, ordering a local beer from the young staff and liqstening to the joyous atmosphere and loud music.