The global warming party line is that they certainly have taken into account the very slight change in solar energy output (only about 0.1%), and it can only account for a small fraction of the observed warming. (Your graph is of sunspot numbers, not actual solar output; the sun puts out slightly more energy during sunspot maximums, and as your graph shows, these have been higher in recent decades.)
But they assume it is negligible. The first papers using the real figures were out last year - which show A) That the direct solar affect is between 10% and 40% of observed, and B) that they don't have long enough of a datastring (barely 2 solar half-cycles) to say that with much confidence.
The much lower 10-40% came from an article published a year earlier, where Scafetta admits "I think it is important to correct the climate models so that they include reliable sensitivity to solar activity.Once that is done, then it will be possible to better understand what has happened during the past hundred years."