Liberals get cross when Trump accuses parts of the press of peddling fake news at the same time as they deride as untrustworthy the reportage of right-wing media sources. I get comments whenever I share anything from a right-wing source along the lines of “As soon as I saw it was from **** I knew it would be a total fabrication.” I expect conservative Facebookers get exactly the same comments if they dare to share something from the Guardian or similar.
Personally, I believe all news media is suspect and bias. I am a life-long Guardian reader but I still have to sift out the facts from the liberal spin. It is better to be a cynical reader of all shades of opinion than a gullible reader of only the media that says the things you like to hear.