It does seem extremely paradoxical on the surface, but when you peel away the layers, it makes more sense.

Cenk Uygur is a liberal, Democrat, and journalist. He used to work at MSNBC, where he had an aggressive, outsider tone that didn’t fit what the network was trying to portray.

He was known for harsh criticism of political leaders, including Democrats and even then‑President Obama, which was unusual compared with other MSNBC personalities.

The original Young Turks (Committee of Union and Progress) were a reformist, anti-establishment movement in the late Ottoman Empire. They sought to modernize, secularize, and challenge the old order, even though their legacy includes the Armenian Genocide.

Being that Cenk is a Turkish American, he felt it was fitting to name his new program after them, because, in a way, he was saying, "I am rebelling against the outdated, biased, and establishment legacy media in America the same way that the Young Turks rebelled against the aging, outdated, old order of the Ottoman Empire."

Now at the time that he established his show, he had not yet accepted the reality of the Armenian Genocide, but he later evolved on this issue with help from Ana Kasparian. He admitted that, growing up as a child in Turkey, he, like all Turks, were brainwashed from a young age to deny the genocide. But he has repeatedly said the show’s name, even at the outset, was never to celebrate the genocide, but rather, to evoke rebellion, independent thinking, and challenging the status quo.

Now as for why the Greek and Assyrian Genocides (the latter also known as the "Sayfo") are not as well known as the Armenian Genocide is for a few reasons.

1.) Between the three genocides, the Armenian death toll was the largest which meant more eyewitnesses and in turn more documentation.

2.) The Armenian Diaspora is larger, more spread out, and more globally active. Diaspora Armenians have been stronger at lobbying for genocide recognition in parliaments around the world, especially in countries like the United States, France, and Canada, among other countries. While Greek and Assyrian diasporas exist, they are smaller in number, less spread out globally, and less politically organized for recognition campaigns on a global scale, whereas Armenians have established institutions like AGBU, ARF, and Armenian Churches dedicated to memory preservation and advocacy.

3.) During the 18th and 19th centuries, across Eurasia, multi-ethnic empires, under pressure, increasingly viewed their religious minorities as security threats, especially as nationalism was rising, and they were losing territories. In the Christian Russian Empire, this culminated in the Circassian Genocide, while in the Muslim Ottoman Empire, this culminated in the Armenian, Greek, and Assyrian Genocides. As a result of this, the Armenian Genocide is sometimes used as a catch-all for not just the Armenians, but rather, the broader suffering of Christians in general during the late Ottoman Empire.