If the press is controlled/funded by the Russian government and has been confirmed to regularly publish fake news as part of Russian propaganda, then the only option is to ban it.
Or ignore it? If a populace cannot even be trusted to hear bad, false information then democracy starts to seem like a bad idea. I don't mean that as an endorsement of any other ideology, but having a populace that can process information without it harming them seems to be a basic pillar of democracy.