Well, the simple fact is that they're not. That's just anti-Putin propaganda. Putin and Dugin have never been seen together, nor do they really know one another, and Putin has denied being at all influenced by Dugin.
I only saw your post after I posted, even though you posted it before I did.
Anyway, I saw an interview with Dugin by that Carson fellow the other day, and his ideas seemed not so distant from Putin's. He seemed like a quite intelligent man, and had many interesting ideas.
His connection to Putin may be fake news, but they both seem to be against liberalism. People must have tried to connect him to Putin because he has some shady relations with occultism and other strange things.