I learned to put both my palms around the lid, fingers crossing over my hands and then press hard inwards. This will pop the lid and then you can easily twist it open.
Yeah, sometimes using your shirt works, too, just because it will absorb sweat and give a dry grip.
Rubber band can also spread the grip out. Like when you squeeze on the lid directly, you can press into the side of the jar and grip there, making it harder to turn it. Especially if there's dried sauce between the lid and jar, squeezing it lid against it can make it less likely to break. A rubber band spreads some of your grip away from your fingers because it is soft, and the rubber can grip along where you aren't pressing, so more force ends up going towards torquing the lid and less towards squeezing it.
A firm but gentle grip can also work. Don't yank on it, just apply slow and steady pressure and sometimes it'll loosen up after a few seconds. And once it starts to turn, it's over. You've won.
I just smack the whole can on the counter. The lid onto the counter edge, to be clear. Seems to work consistently, and lots of room to apply more force if needed