Any media source be it conservative or liberal has a double standard. They preach to their own choir. It's easy to see when you're not a fan of either of these parties.
When Obama was president, the right spent 8 years slamming every thing he tried to do as president through their media sources. Even some things that would benefit the country, they flat out refused to reach across the table. And the right wing media constantly attached a negative slant to it. Mitch McConnell said himself the republican's job is to make sure Obama only served one term. That was before he even took office. Before he tried to do anything. After two wars, the economic crash during conservative rule. If you remember, Bush got the ball rolling on bailouts right before he left office. However, conservative media wasted no time blaming Obama for it after he got into office. Although he did continue the ill fated process. ( my opinion) The right wing media made sure to keep telling us it was Obama's brainchild and not Bush's. After the election, the conservative base got amnesia and blamed the Democrats for everything that happened under Bush's watch. I didn't agree with a lot of the things Obama wanted to do, but I witnessed the right's actions during 44's administration. It was Sad and Pathetic.
Fast forward to Trump's administration, The Conservative media does a 180. The sky isn't falling anymore. And everything is better except for Illegal Immigrants. Trump's administration is full of vacancies, people who never owed in their life during tax season, now do. EPA, clean air regulations tossed aside or rendered ineffective, UN resolutions rendered ineffective. And right wing media couldn't be happier. They explain away Trump's tweets, prejudiced comments, and lack of decorum. The first lady is given a pass for posing nude in the past. And they say it's okay. Get over it. Even Evangelicals steered clear of it. If Michelle Obama did that in college, Fox News would had never let you forget it. Shit, she couldn't get away with wearing sleeveless attire. The conservative media claims they have never seen so much bias for the current president. But were the main culprits dousing gasoline on the airwaves and torching them during Obama's two terms. If Obama had in any way tweeted some of the the things Trump has, called out conservative Hollywood figures, athletes, or singers. Showed anger, or had a lapse of judgement. They would had crucified him. He said one day Travon Martin could had been his son and the conservative media spun it as Obama was dividing the country.
So yeah, there is a double standard on both sides.