Carrick had been on the brink after last week’s defeat by Bournemouth but was given the chance to turn things around here after crisis talks with the club’s executives.
He failed to do so, though, as Chelsea cruised to a 2-0 win after Lisandro Martinez picked up a brace of yellow cards.
United had been the better side in the first half but capitulated after Morgan Rogers’ fine solo effort opened the scoring in the second half and eventually suffered another damning defeat. Cole Palmer later added another from the spot, while Estevao saw two goals ruled out for marginal offsides.