After his move from the Scottish Premiership, Irvine’s sensational season continued with his side’s opening goal on 36 minutes.
This was followed by a goal of the season contender from Matty Palmer for the Brewers despite a late Rotherham reply in the 2-1 victory. The Brewers now sit 19th in the 24 team league.
Meanwhile, Aaron Mooy played 90 minutes in Huddersfield’s 1-1 draw away to Blackburn.
Bailey Wright played a full game in their 2-1 loss away to Sheffield Wednesday, while Massimo Luongo played 90 minutes in QPR’s 2-1 home loss to Wolves.
And Caltex Socceroo skipper Mile Jedinak picked up an early yellow card in Aston Villa’s 2-0 loss at Leeds United.