The term "liberal media" is only used by those within the corporate media itself, right wing kool-aid drinkers, or with scare quotes around it by the actual left.
The term "liberal media" is a correct term because 90% of major news outlets (and media in general) lean left. This is accepted by everyone who has eyes to see.
This is a good place for you to be. It's easy to do little research and find that MSM leans left, like 95% of major news outlets do. The bias for things that are left of center in media isn't even argued by left, or right, or anyone. The only people who don't realize this are those who have "drank the kool-aid". Please, just do a couple of google searches. These major news outlets don't even really hide it. Google "the liberal media" or "major news outlets bias". Something like that.
... NBC, MSNBC, CNN, ABC, CBS, FOX (fox has fallen into this group recently), etc. It's crazy that more folks don't realize this. 90% of MSM is pro liberal agenda.
Liberals know mostly know this, but they don't care because they are on their side. MSM bias for the left isn't even argued. It's common knowledge (at least it should be).
Many many local news stations are also run by this media conglomerate, and that's why you will see all these news stations reading from the same script. They have a collective agenda. Well, actually, it's not THEIR agenda, it's the agenda of a VERY small group fed to these stations to repeat.