Cenk Uygur is a Turk. All Turks deny the Armenian genocide.
In a supreme irony, one of his henchgirls is Ana Kasparian, of Armenian background. Apparently their shared radical politics overrides historical memory.
Yes, I always thought that it was a bit odd for Ana to be on the show. As you said, Leftist politics are more important to her than the history of her ancestors.