Ilderton sent off Millers midfielders David Noble and Michael O'Connor - but it was the match official's own behaviour that angered the controversial Rotherham boss.
Evans claimed: "The referee was totally, obnoxious rude and embarrassing to me and my staff throughout the match and at half-time.
"I will speak to the Football Association on Monday. We will do it properly, as we are obliged to do, but I have to say that the words he used staggered every one of us."
Evans took issue with both dismissals and also claimed the second of Billy Kee's match-winning goals should have been disallowed.
The Scot said: "In the case of David Noble, I don't think (Burton manager) Gary Rowett thinks either challenge deserved a yellow card, I don't think Gary Rowett would argue that Billy Kee handled the ball in the build-up to his second goal and I don't think Gary Rowett thought Michael O'Connor stamped on one of his players.
"He (the referee) has been the key player for me - the real focus and the centre of attention - and that's because of his performance."
Noble was sent off on the stroke of half-time after picking up two yellow cards for tackles on the lively Jacques Maghoma in the space of four minutes.
Maghoma was also the victim of an alleged stamping incident in the 86th minute which resulted in O'Connor being shown red before Andy Warrington kept out Michael Symes spot kick.
