Quinton "Rampage" Jackson said his son was back home and "doing OK" hours after he was booked for felony battery on Thursday ... telling his buddies he's well aware of the fact Raja "f***ed up."

Rampage went live on Kick following the 25-year-old's arrest ... and at one point, he opened up on the aftermath of the Knokx Pro Wrestling scandal that left Syko Stu (aka Stuart Smith) hospitalized. Play video content

"I'm doing OK, I'm holding up well," Rampage said ... adding he understands the situation is no longer under his control.

"He f***ed up, he f***ed up. He gotta learn his lesson." Play video content

"It is what it is, all I can do is be a dad," Rampage continued. "He don't listen to me, at the end of the day, he can't say I didn't do what I was supposed to do as a

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