CNN and MSNBC are less about pushing liberal propaganda than they are in pushing sensationalism, ratings, and website hits, irregardless of political ideology. They only look "liberal" when compared to Fox News, which isn't even a news organization in the conventional sense of the term, but a 24/7 propaganda arm of the Trumpite Republican Party. Even the NY Times, which is pretty liberal on its editorial page, still pursues a lot of bosiding in its other sections and articles. However, since most conservatives regard any news outlet as "liberal" that's even slightly to the left of Fox News, Breitbart, and One America, or that is even mildly critical of Trump and other Republicans, they persist in seeing all nearly all mainstream news media as the enemy, and you'll never convince them otherwise.