His quirk hurts him, it hasn't been confirmed if all his scars are from the incident when he burned as a child and was declared dead (and supposedly they found his jawbone) or if it has been getting worse little by little.
He burns himself when he uses his quirks... Endeavour fucking KNEW this and kept forcing him to use it over and over to the point where he would be crawling to Natsu (the 2nd son) begging to die.
Until one day, the poor kid BLEW up and only his jaw was found, so fucking Endeavour that fucking bastard piece of shit, he didn't even bother searching for his missing kid. Just declared him dead and moved on to Shoyo.
But he wasn't crawling to Natsuo begging to die. He wanted to know why he existed which could be taken as he feels like he has no purpose since Endeavour tossed him aside for Shoto or that Endeavour was pushing him too much.
And the chapter actually wasn't clear about the exact circumstances leading up to the fire that lead to Touya's disappearance.
Why would Endeavour have needed to keep pushing Touya to the point of "blowing up" when he was already training Shoto who had the perfect quirk combo he had wanted in a child?
And Endeavour didn't search for Touya because he was told no one could have withstood the flames and they found a jaw bone that was presumably Touya's.
On a side quiry: Touya has his jaws (unless his upper and/or lower teeth are fake) so where did that jaw come from and who raised him?

I forgot...how did touya got burn again?