There is barely a speech by Putin and Lavrov where they don't literally say something like "beginning of a radical breakdown of the US-style world order. This is the beginning of the transition from liberal-globalist American egocentrism"

So this is why Russia supports and is supported by all radical groups that want to change the current order - left or right.

The state it self is right-wing but you can see even anarchist organisations parroting its agenda.

Russian trolls also just stir up trouble - the same people will post extreme fake claims supposedly by BLM protesters and then right-wing conspiracy theories. They see stirring up racial and class tensions as useful because it destroys the "hypocritical liberal order" - it paralyses countries and governments so they can't do effective foreign policy.