The Bengals lost their heads and the Steelers somehow pulled out an 18-16 victory in an AFC wild-card game in Cincinnati.
Bengals linebacker Vontaze Burfict is expected to receive league discipline for his vicious hit to the head following an incomplete pass that gave Brown a concussion.
Burfict was penalized for unnecessary roughness and Jones for unsportsmanlike conduct during an on-field skirmish while Brown was being attended to by trainers.
Jones, appearing on "The Dan Patrick Show" on Monday, reiterated that Brown was not hurt on the play.
"Antonio Brown was not hurt. I know he was faking it," Jones said on the show. "Go back and look at the play. If you go back and slow-motion the play, you tell me that Vontaze hit him in the head or did his shoulder pads barely touch him?"
Jones on Saturday told NFL Network's Michael Silver of Brown, "Man, that (expletive) was (expletive) acting. He flopped. He needs a (expletive) Academy Award for that performance."
Jones said Monday that Brown should receive another award.
"He deserved a Grammy Award for that," Jones said. "I know if you just got knocked out you ain't going to be able to wink and tell me you're OK."
After the Bengals were penalized 30 yards on the play, Chris Boswell's 35-yard kick gave Pittsburgh the win with 14 seconds remaining.
Jones left the locker room Saturday night without talking to reporters and then lashed out on social media, positing a video on his Instagram account.
"The (expletive) ref did a horrible (expletive) job," Jones said in the video. "You got (Steelers linebacker coach) Joey Porter in the middle of the (expletive) field talking (expletive) to everybody and then when somebody says something to him ... he isn't even supposed to be on the (expletive) field."
Jones later deleted the video and posted a calmer second video.
"I'm good now, I've had my 10 minutes," Jones said. "But I still don't believe I should have got a flag for talking to a coach that's on the field behind the huddle."
Jones was penalized after he got into an altercation with Steelers assistant coach Joey Porter, who had come onto the field at the same time Brown was being tended to by medical staff.
"They said I made contact with the ref," Jones said on "The Dan Patrick Show." "I was pointing at Porter, saying, 'Why is he on the field?' I asked the head ref why he was on the field. He couldn't give me an answer. ... He wasn't with the player who got hurt."