Assistant manager Steve Round believes the arrival of Kevin Mirallas will increase Everton's goal output and take pressure off striker Nikica Jelavic.
Mirallas, 24, scored twice on his first start for the club,
a 5-0 win against Leyton Orient
in the Capital One Cup.
BBC Radio Merseyside:
"One of the things that the manager [David Moyes] always talks about is signing players who have the ability to score.
"Kevin's a goalscorer and he was one of the top scorers in Greece last year."
A brace from the
£6m signing from Olympiakos,
as well as further goals from Leon Osman, Victor Anichebe and Magaye Gueye, ensured a safe passage through to round three for the Toffees.
Everton: A team in form
Everton are unbeaten in their last eight competitive matches - a run that stretches back to their FA Cup semi-final defeat to local rivals Liverpool at Wembley on 14 April
Round continued: "Steven Naismith
got a hat-trick
in pre-season, we've got Jelavic and [Marouane] Fellaini who will score and Osman from midfield.
"The goals will come from numerous sources and that's what we've been after.
"We've talked about having a 20-goal centre forward and maybe we've got that in Jelavic, but it's very important that we get goals from elsewhere to take the pressure off your centre forwards."
After Premier League victories over
Everton continued their 100% start to the season with a routine win over League One side Orient.
Moyes rotated his squad to good effect, with several players impressing at Goodison Park.
"That's the beauty of our squad at the moment," added Round. "With having everyone fit, and with the quality we've got, we could make those changes and still be that competitive.
"Credit to the guys that came in. Kevin will get the headlines with his goals but I thought [Steven] Naismith was outstanding with his link-up play and his general all-round game."