Evans was found guilty with using abusive and/or indecent and/or insulting words and/or behaviour towards a participant in or around the dressing room area at the end of the Bradford City versus Crawley Town Football League Two fixture on 27 March.
"I am very disappointed by the decision," Evans said in a club statement, "however for the good of Rotherham I accept the verdict and will move on with no further comment."
Evans, the FA confirmed, had requested a personal hearing about an additional charge that he had included a reference to gender, a charge he denied and was subsequently cleared by the Independent Regulatory Commission.
In the wake of the Bradford v Crawley fixture, there were allegations widely reported that Evans had insulted a female member of staff from the home club.
It followed a bad-tempered game in which five players received red cards, with a brawl at the end of the match.
Bradford City director Roger Owen confirmed at the time that they had made a complaint to the appropriate authorities "following an incident".
The ban takes place with immediate effect, and means Evans cannot be at the ground where Rotherham United are playing at any time during a match day.