Dallas reported the Northern Irishman to referee Stevie O'Reilly during the 2-1 home defeat by Saints following an exchange with the fourth official after the dismissal of Killie captain Manuel Pascali early in the match.
After his appearance before the SFA's judicial panel at Hampden on Thursday, Shiels was found in breach of rule 203 relating to misconduct but the disciplinary body ruled no further sanction was necessary, given that the Rugby Park boss spent 87 minutes in the stand.
Shiels, though, subsequently accused Dallas of four different "outrageous" fabrications and in response the official has referred the matter to the SFA - which is likely lead to compliance officer Vincent Lunny citing the Killie manager on another charge. That would set him and Dallas on a collision course with serious implications for whoever lost the case.
In a statement released through Press Association Sport, Dallas said: "I an extremely surprised and disappointed by the allegations and comments made by Mr Kenny Shiels yesterday.
"I have referred the matter to the Scottish FA for consideration and will also be seeking advice from the Scottish Senior Football Referees' Association. In order to focus on my duties as a match official I will make no further comment at this stage."
An adamant Shiels had told BBC Scotland: "I was totally exonerated, yet I had to sit in the stand for a whole game. I brought in evidence to disprove the fourth official, who fabricated stuff to try and incriminate me. I don't like that.
"I'm not going to lie down to these people. The fabrication was outrageous - at least four different things that were said about me - but he wasn't aware I had visual evidence on my laptop.
"I think it was to get me into trouble. I'm sure it was to get me into trouble. There are no maybes about it and I would like some answers.
"If I hadn't brought the evidence, I'd have got another four matches [added to a three-game touchline suspension for a separate matter]."
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