The hardline Toffees manager made it clear to Roo, 31, in talks before his Goodison return that he wanted him to set an example to his younger players.
Koeman also underlined he did not want to see repeats of stories linking the retired England captain with gambling and boozing binges.
Koeman sang Rooney’s praises after the 1-1 draw at Manchester City, saying he had already become a leader in the dressing room following his switch from Manchester United.
Team-mate Michael Keane also declared the whole squad hung on his every word, saying: “When someone like Wayne speaks everyone else listens.” But Three Lions’ record scorer Rooney now faces being hauled over the coals.
Everton were last night not commenting on the player’s charge. But sources close to the club reveal no further official action will be taken other than the fine.
The ex-England captain was taking a mystery brunette home in her car when he was arrested on suspicion of drink driving, it was claimed.
Rooney was pulled over by cops at 2am yesterday morning while at the wheel of a 29-year-old office worker's black VW Beetle following a night out with United pals, it was reported.
He is thought to have been three times the limit when police stopped him in Cheshire.