It is not only targeting the Right. I'd suggest that Russia isn't primarily interested in bolstering the right specifically. They are interested in dividing national societies as well international alliances along any possible ideological issue, effectively shattering the entire thing - divide et impera.

You can see some indication of this in the Mueller report on Russia's election interference in the US, and the DOJ indictment against Prigozhin and his Internet Research Agency troll factory. They kept playing both sides: pushing Facebook groups that were strong pro racial justice & BLM while also pushing pro cop / back the blue Facebook groups. At some point, they scheduled protests for both sides of this particular issue at the same time and place, clearly hoping for altercations.

But I think it's safe to say that, at least in the US, their efforts seem to have mainly focused on the Republican side. However, here in Germany, both the populist far-right AfD and the populist far-left political Party BSW around former Linke politician Sarah Wagenknecht are very much aligned with Russian interests: https://www.dw.com/en/russias-best-friends-in-germany-afd-an...