I’m sure you have just as much nice grass as that woods does. It’s just spread out (like in the woods) between the not so nice stuff because grass sucks and isn’t meant to exist, much less grow as a constantly-pruned monoculture, in most of the areas it’s used :)

I try to keep my lawn on the brink of grass death because grass is a worthless spoiled brat, constantly demanding resources to look remotely ok (and so I don’t have to mow it). The clover and violet I planted in it makes it look green with zero effort, though, so the city doesn’t get on my ass about it.

You could try sowing grass native to your area. Or, better yet, kill your lawn: https://piped.video/watch?v=xYdLfkJcfok

The same species of grass?

Lawn grass isn't native, for one thing.