Everton opened their Group I campaign with an easy 4-0 win but the night was perhaps more significant because it heralded the era of AARs as European governing body UEFA's experiment of placing an extra official behind each goal got underway.
Everton's satisfaction with their performance at Goodison Park was soured by striker Louis Saha's injury-time dismissal for raising his hand to the face of AEK fullback Juanfran.
"It's amazing that they see the small arm from Louis but not the big kick that was aimed at him beforehand despite all those officials in and around the box," Moyes told reporters. "It was disappointing because it was an outrageous kick on him.
"Maybe the extra officials were looking for something to do. But they were there and initially got it wrong, because not to see the kick on him was really poor."
If AARs prove successful in the Europa League, which has this season replaced the UEFA Cup, they could be introduced for UEFA's flagship Champions League competition next term.
The two AARs at Goodison, Hubert Siejewicz and Pawel Gil, had very little to do during the match despite the second-half dismissals of AEK's Carlos Araujo and Saha.
