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First of all, they do make a lot of young adult shows. A lot. Second of all, clearly you are watching these teen shows. But teens tend not to like to watch things with people who are too much older. So it makes sense to have shows about teens the most.
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Have you considered that most adults are working and teenagers have more screen time, so catering to their needs is more profitable? >

I actually think people in their twenties have more time to watch tv, high schoolers (atleast in my country) have to study all the time (even on weekends)
I can say for myself that I have way more free time at age 20 then I did in high school >

Do you think the average 16(mid teens) year old has less screen time than an average early 20s person? >

Yes >

Are you from an upper middle class family... >

God damn you called him out hard >

Young adults are at the time in their lives when they are most busy. Collage, university, trade schools, starting work and often working as much as they can. Pre-covid at least busy social lives. They just don't have the same amount of time to spend watching tv as teenagers do. >

i had so much more free time in college >

So first off there are plenty of shows already about people at pretty much any age group, and in any of those shows you may very well have a 38 year old playing 30, or a 27 year old playing 35, it doesnt really matter. 
With teen shows, there are laws limiting how long, and what hours, a minor can work, as well as needing a guardian present to make certain decisions. 
So if I hire a 20 year old, they can work 12 hour days. We can film a night scene at night, it might take 6 hours to shoot, so we can shoot from 9pm-3am, which we can't do with a 15 year old.
The other issue with actual teenagers is it can be quite difficult to predict how they are going to physically develop. So if you go away for 4 months for summer break, all of a sudden when you come back and one of your stars has changed, you may have to retool the dynamics of your show that you've spent 3 seasons developing, or actually throw out some scripts that the writers spent weeks or months working on. The likelihood of a 22 year old developing physically in a short time span, is pretty low. 
Also, I think many adults watch shows about teens, they are not geared specifically towards teens. Typically you want as broad an appeal as possible if you want to keep a show running. The 25 or 35, etc. year olds are probably not going to watch a show with 15 year old leads, where as even the teens are just as likely, even more so maybe,  to watch a show with 20 something leads. >

A couple of points here:


"Young adult" is often used as a substitute for "teen", at least when it comes to books. The audience is teens, and they know it, but advertising as "teen" may turn off teens. So they call it "young adult" instead.


Aren't most shows not focused on a family or explicitly high school, young adult shows? New Girl features people in their 20's. The cast of Friends were in their 20's. One Tree Hill did a time jump and followed the same people, five years or so removed from high school, placing them in the same category that you're referring to. Then you have shows featuring young adults just figuring it out, but it's embedded in another show. 911 features Buck, who goes through a lot of young adult stuff.