Ukraine would continue to be very unstable past early 2014. As it was, the president's position had became untenable due to his actions by the time he fled Ukraine for Russia. ITTL, after using overt military force against the opposition Yanukovych only could hold on to power with implicit if not explicit Russian support, and practically he would become a Russian puppet.
I agree with
@Changundramon above: if Yanukovych and the Party of Regions do not rig the next (parliamentary and presidential) elections, the pro-Western parties would very likely sweep to power. Thus, in comparison to what is the Russian/pro-Russian party line IOTL about Ukraine being run by "Kievan Fascists", ITTL it might be rather ironically run by an illiberal (if not outright authoritarian) pro-Russian regime, one with blood on its hands and one that is continually ready to use political suppression of the opposition as well as outright violence to stay in power.
Personally, as a matter of fact, I don't think Yanukovych would have had the stomach for this. My reading of him is that he was "merely" a corrupt career politician, not a potential authoritarian strongman.