The Championship side struck thrice in nine first-half minutes to race into a 3-0 lead after just 32 minutes.
Anjorin has returned from his loan spell at Lokomotiv Moscow and will spend the rest of the season at Huddersfield.
The midfielder endured fitness problem during last month’s Carabao Cup clash with Huddersfield but impressed the Blues boss with his resilience.
An Everton side featuring nine changes from the side that were held to a 2-2 draw at Leeds at the weekend looked to be up against it when Iwobi’s goal was cancelled out by Tom Lees before Kean was given his marching orders.
Baum was brought in to replace former Huddersfield boss David Wagner, who was sacked following their horror start to the new season.
That result left the Terriers three points above the relegation zone with one match to play but their superior goal difference effectively left them safe.
Leeds secured promotion to the Premier League on Friday after second-placed West Bromwich Albion’s loss at Huddersfield Town guaranteed a top-two finish and Marcelo Bielsa’s side now have an unassailable five-point lead with a game in hand.
Fulham chairman, Shahid Khan, apologised to fans on Wednesday after the club was relegated from the English Premier League.
Huddersfield have appointed Jan Siewert as their new head coach on a two-and-a-half-year contract until 2021.
Victor Moses must improve as a winger for him to feature regularly for Chelsea, according to manager Maurizio Sarri.
Digne, signed from Barcelona in August as part of Manager Marco Silva’s expensive squad make-over, slotted in well at left back and made his first meaningful contribution a minute after Huddersfield took the lead
Jon Gorenc Stankovic – making his first appearance in 17 months due to a knee injury sustained at this ground – netted Huddersfield’s consolation goal
The 38-year-old was released by Huddersfield at the end of last season and jumped at the chance of the move to Stamford Bridge.
The first Manchester derby of the season is scheduled for November 10 at the Etihad Stadium, and the reverse will take place on March 16 at Old Trafford
The Blues were angered when referee Lee Mason awarded them a corner, but then blew for half-time before it was taken by Willian – the official deciding that the required stoppage time had elapsed.
Danilo broke the deadlock with his third league goal of the season before Leonardo Ulloa headed home an equaliser for Chris Hughton’s men in the 20th minute
The club paid tribute to the Frenchman ahead of the match, and the players put on a fine performance for their manager to record their 15th home Premier League victory of the 2017-18 campaign
Toby Alderweireld has been ruled out the Champions League last-16 second-leg clash against Juventus with a hamstring injury while Jan Vertonghen is facing a fight to be fit for both matches due to an ankle problem.
Steve Mounie is hoping to continue a run of three goals in his last four games, but manager David Wagner knows it will be difficult to repeat Huddersfield’s memorable 2-1 win over United from October.
Allardyce stuck with a winning formula by making no changes to his starting lineup on the back of the win over West Ham United in midweek, but it took a while for both sides to really get going