Evans was found guilty of "using abusive and insulting words and behaviour towards a participant in or around the dressing room area" when in charge of Crawley following their feisty League Two clash at Bradford on March 27.
Five players were sent off after a post-match brawl - Andrew Davies, Luke Oliver and goalkeeper Jon McLaughlin for Bradford with Crawley duo Pablo Mills and Claude Davis also seeing red.
An FA statement read: "Following an Independent Regulatory Commission held on Wednesday 5 September 2012, Rotherham United manager Steve Evans has been given a six-match stadium ban and fined £3000.
"Mr Evans was charged 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 2012.
"It was further alleged that the breach included a reference to gender, a breach of FA Rule E3(2). Mr Evans denied the charge and requested a personal hearing.
"The Commission found that Mr Evans had used abusive and insulting words and behaviour towards a participant in or around the dressing room area at the end of the fixture which did include a reference to gender. The Commission did not find that Mr Evans had used indecent words or behaviour.
"Mr Evans has informed The Football Association that he does not wish to appeal the decision and therefore the sanction is now imposed with immediate effect.
"The stadium ban will prevent Mr Evans from attending the ground at which Rotherham United's first team are playing at any time during a match day."
Evans expressed his disappointment at the decision but added in a statement: "For the good of Rotherham United I accept the verdict and will move on with no further comment."
A club statement read: "Rotherham United acknowledge the decision of the FA today and will work closely with Steve Evans to ensure the penalty imposed does not affect our objectives for this season.
"The club wishes to stress that there will be no further comment on this matter."