It wasn't a comfortable win by any means against a resillient Wolves side, but Moyes can certainly be pleased with his side confirming their names in the hat for the next round, as Everton face Newcastle United at The Hill Dickinson.
Ainsley Maitland-Niles occupied the right-back position as the match begun for the second consecutive game, with Jake O'Brien being handed his first start of the season, paired alongside Michael Keane, in order to give Branthwaite and Tarkowski a well earned rest.
Wolves fielded many players who can be argued as second team standard, with the likes of Boubacar Traore making his second start, and coincedently a Newcastle loanee in Sean Neave coming into the fray, in the position that's usually occupied by Rodrigo Gomes.
Former Everton shot stopper Joao Virginia stood between the sticks tonight as well, making some unreal saves which kept his side in the contest, denying Thierno Barry another Carabao Cup goal from point blank range, and Brennan Johnson later in the second half.
That was before substitute Charly Alcarez, who's admittedly been out of favour since Kiernan Dewsbury Hall arrived at the club, sharply took it around a desperate Toti Gomes, and incisively slotted it beyond Virginia's reach, into the left corner.
Tyler Dibling took home the man of the match, and deservedly. The young English winger has had to work immensely hard for his preferred right wing spot, but took his chance tremendously, capping off a fine performance with the winning assist for his Argentinian teammate. That last ditch tackle as well, wow.
"He's really looked as if he's (Dibling) a lot more comfortable since the start of pre-season. Sometimes it takes that bit of time for young players to settle away from home. I'm absolutely thrilled for him."Alan Irvine on Tyler Dibling
The Toffees have now gone the first six games unbeaten to open their campaign, a record start that traces back over six years, where Ancelotti's blues began the season eight games without a loss.
Whenever Everton play Newcastle fireworks are always expected and a roudy atmosphere is already brewing, with the Toffees keen to seek revenge following their last encounter at The Hill Dickinson, shipping four goals and going down without a fight.
Newcastle on the other hand had already played their third round fixture last week away at The Den, defeating Millwall by a late Joe Willock goal, having dominated a large proportion of the match.
The details are yet to be confirmed regarding kick off times and dates for the Round of 16 tie, but with the three-week long international break coming up after this weekend's Premier League action, fans will have to wait a little while longer.
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