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Rogers needed 14 stitches in his lip after a challenge by Tyrone's Tiernan McCann at the start of the game.
"I think Brendan was quite shocked. Some people were quite horrified," said the Derry manager.
"I'll leave it to other people to make up their minds."
The Slaughtneil man had the stitches inserted last Sunday and Barton expects Rogers to be out of action for a couple of more weeks.
Rogers was named at midfield for the McKenna Cup final and the match video suggested he may have been caught by McCann's right elbow immediately after challenging for the initial throw-in.
After the ball was thrown in, McCann came in from the side and the footage showed the Tyrone man clattering into Rogers although the Red Hand county player appeared to be focusing on the ball rather than the Derry midfielder when the contact was made.
"Brendan has been very quiet about it and we have been very quiet about it as well," said Barton after Derry's opening 3-13 to 1-10 Division 2 Football League victory over Fermanagh at Celtic Park.
"It was quite an horrific incident. I wouldn't like to expand on it to be quite frank.
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"It was an incident that thankfully you don't see very often."
Barton added that he "couldn't speak" after the game such was his upset about the incident.
"I think it affected the mood of all of us.
"It overshadowed for me what was a positive night for football.
"I think the amount of respect that was shown between Derry and Tyrone was very evident but it's one of those things I'll let people make up their own minds about."
In terms of Sunday's opening league win, Barton felt that his team had laboured badly in the first half before going on to clinch a nine-point victory over the Erne County.
"We were very flat at the start of the game. We turned over a serious amount of ball under no pressure.
"I was glad to see our first goal going in (before half-time) and I was very happy to see half-time because it gave us an opportunity to restructure and talk about what we felt we were going wrong.
"Getting in the ball in early in the second half to our men inside worked nicely in the inclement conditions but we'll have to up our performances over the next couple of weeks."

John Kane filmed more than 60 women in the Central Retail Park and a nearby supermarket last July.
The 67-year-old also secretly recorded children playing outside a nearby Next store.
Kane was placed on the sex offenders register ahead of sentencing on 30 March at Falkirk Sheriff Court.
Prosecutor Ann Orr told the court that Kane tried to flush a memory card down the toilet at a police station after being arrested for drink driving.
The memory card contained 60 short videos, lasting between 50 seconds and three minutes.
Mrs Orr said: "The recordings appeared to be of adult females at various shops in the Central Retail Park.
"The camera operator has the camera positioned to show the females from the waist down, focusing on their bare legs and zooming in on their bottoms."
The depute fiscal said the memory card also contained three slightly-longer videos showing children aged between six and 12 playing.
Mrs Orr said: "One child is doing cartwheels, and the camera zooms in on the crotch area."
Mrs Orr said the camera operator's distinctive cream, leather-toecapped trainers and khaki shorts were in shot in many of the videos.
She said Police Scotland received an anonymous phone call from someone who expressed "concern" over Kane's behaviour.
A search warrant was obtained for his home, and the khaki shorts and distinctive trainers were found in a bag in his spare bedroom.
Kane told police he "had a drink in him" at the time the videos were filmed.
Asked if what he had done aroused him, he said: "It did at the time, but afterwards I felt ashamed about it."
Kane, of Falkirk, admitted operating a recording device to obtain footage of women and children in a public place without their knowledge and consent between 15 July and 22 July last year.
Sheriff Derek Livingston deferred sentence for a risk assessment and released Kane on bail.
Derry football manager Damian Barton has described the facial injury sustained by his player Brendan Rogers in last weekend's Dr McKenna Cup final as "horrific".
[NEXT_CONCEPT]
A pensioner used a mini camera to secretly film women's bare legs in a Falkirk shopping centre, a court was told.