Oldham in their fifth round replay.
The Toffess eliminated their League One rivals with a convincing 3-1 victory at Goodison Park to book a spot in the quarter-finals.
Goals from Kevin Mirallas, Leon Osman and Baines gave the hosts a 3-0 lead, before Oldham’s Matt Smith pulled back a consolation effort.
After being knocked out by local rivals Liverpool in the semi-final last season, Baines is hoping that Everton can go one better this time and secure a spot in the showpiece final:
“We’ve been close a couple of times and that whets your appetite. We want to go further.” He told ITV1.
Wigan await Everton in the next round, and Baines, a former Latics player, feels that it will be a difficult encounter:
“We’ve got a tough tie next.
“We’re at home so we’ll be favourites, but we’ve had tough games against them the last couple of seasons and they’re coming off the back of a good win at the weekend so they’ll be confident.”
Oldham had a good shout for a penalty turned down, when Phil Jagielka’s clearance appeared to hit Darron Gibson on the arm.
Baines says that he didn’t see the incident, but admits that every team needs a little bit of luck every now and again:
“I haven’t seen it but (if so) we’ll take our bit of luck, you need it if you’re going to get through in the cup.”