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Depends on the systems they accessed. If it's, say, licensing databases or other administrative functions then it'll be massively inconvenient, but not an immediate impediment to flight operations. If it was the Flight Data Processing System, then everything's staying on the ground for hours/days. Flight Radar 24 shows lots of aviation occurring over Russia, so I'm guessing it wasn't something as critical as that.
Just seen this on reddit - apparently anonymous have taken out all the Russian aviation authority's servers, erased everything including backups... now wondering how much potential disruption this sort of attack could cause if a large number of hackers decided to simultaneously fuck with any Russian systems they can get into?