Sometimes the media engages in false equivalency by citing two very different actions or events, one by a Democrat and one by a Republican, and saying or implying they’re equivalent. But sometimes it takes the form of inventing or shoehorning in to a story criticism of a figure or policy from one party a claim that the criticism is from both parties. Thus, all the “even Democrat Joe Lieberman/Zell Miller/Evan Bayh”-stories you’ve encountered over the years.
Today the Washington Post doesn’t even find a Democrat. The story linked above includes criticism of Barack Obama from Tim Pawlenty–you may have heard of him, he was once thought to be a presidential candidate–and Republican operative Mike Murphy. The article doesn’t cite criticism from any Democrat, but does mention criticism from a liberal columnist–the Post’s own Colbert King. Then the Post sent out a tweet saying Obama’s being criticized by both Republicans and Democrats, because, of course, the foundational assumption of American political journalism is equivalence, especially of the false variety.
Rooted Cosmopolitan 
False equivalency is the reason why American media is such a pathetic laughing stock. It’s un-objective and illogical. The media is supposed to be the complete opposite of that. Bah.