West Ham won 2-1 after Idrissa Gueye's opener for Everton was canceled out by Lucas Paqueta and Niclas Fullkrug.
However, Moyes dismissed the result insisting his squad is short of numbers.
He explained, "I'm not overly concerned because I don't have the players I need. Obviously, we're really up against it and we knew before the start of the (tournament) that we were going to be really up against it.
"We finished above two of the three other teams that are playing in it, so we have to get back on it. But, at the moment, until we get our better players back and until we add to the squad, we're going to have a struggle.
"I think there is a bigger turnover of players now at clubs than there used to be. It used to be signing maybe three or four, tops, every season, but because of the way with the bigger squads and boys not getting games, you find that there's a bigger revolving door of players. A lot of clubs will be signing quite big numbers."
Incredibly short
Moyes also said: "Ours is partly because of the position we had, the situation we had with players. We wanted to have the players in a lot sooner, especially coming here, because I knew we'd be incredibly short.
"Then, obviously losing Jarrad Branthwaite and Tarky (to injury) – to name two – makes it even more difficult.
"But no excuses. We played the last game of the season without those two and beat Newcastle, who were going for the Champions League, so there's no excuses for our performances and I'm not giving any – but I think there are reasons for it because those boys are really important for the team."