The only links to Mr. Absudamatov all have to do with this news item, so I can't chack his credentials or history. As far as I know, the only reasonably accurate predictions for solar activity are for the last few years in a cycle, when the first years have been observed. No long-term predictions have been shown to be reliable as yet.
It looks to me like he has the agenda of convincing people that global warming is purely natural by exaggerating the importance of solar activity while studies that have been conducted and peer reviewed show that changes in solar activity are responsible for between 1/3 and 2/3 of measured temperature changes in the last century, with the rest supposedly coming from human activity (although certainly the latter part is disputed by a lot of people). If indeed about on average half of the temperature change in the last century was due to human processes, then we will need quite a big change in solar activity to overcompensate this, as our impact is becoming bigger and bigger.

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