Alex Iwobi returned to the Everton squad in the Premier League game against West Bromwich Albion but he was an unused substitute in the Toffees striking 5-2 victory at the home game.
Dominic Calvert-Lewin netted a hat-trick for Everton in a game that saw two red cards given to West Brom’s player and manager.
The Baggies netted the opening goal when Grady Diangana put the visitors ahead in the 10th minute.
But a strike from Calvert-Lewin which was reviewed by VAR leveled the game for the hosts.
James Rodriguez who impressed on his Everton debut last weekend, put Everton ahead just before half time with a precise finish.
Seconds later, James was involved in an off the ball incident with Gibbs, who was shown a straight red card for lashing out at the Colombia midfielder and catching him in the face.
He was quickly followed by manager Bilic, who had confronted referee Mike Dean on the field at half-time to protest the sending off, but was soon shown red himself and watched the second half from the stands.
But West Brom was undaunted despite being a player and manager down and Matheus Pereira curled home a sumptuous free-kick in the 47th minute.
But a close-range strike from Michael Keane in the 54th minute and two quickfire Calvert-Lewin goals in the 62nd and 66th minutes beat the Baggies down.
Calvert-Lewin now has four goals in two Premier League games this season.
Next, Everton travel to Fleetwood Town in the Carabao Cup on Wednesday before travelling to Crystal Palace in the Premier League next Saturday.
West Brom host Brentford in Carabao Cup action on Tuesday before welcoming Chelsea to The Hawthorns next Saturday in the Premier League.