Nope, Russia has never fought during the Winter months....
The mobilized received footcloths instead of socks
If any country knows about winters. It was -34.5c in Ilirney in North eastern Russia overnight. The coldest place on Earth outside of Antarctica
The issue will be decided by effective logistics. Ukraine has shorter lines of supply. They have also limited the Russians ability by blowing up bridges, etc.
How it turns out, I do not know, but it will be tough going for both sides.