The midfielder claimed
And despite the Toffees being six points and seven places above them Gerrard insisted
"I thought we were fantastic and stood up to a team that are very similar to Stoke," said the 32-year-old.
"Every single time they get the ball to the goalkeeper it comes in long.
"Everton are effective because they have some big, physical lads in the team.
"We had a young, small team out there who were men and stuck together.
"There was only one team who came to play football and that was us.
"Everton are not better than us."
Gerrard was full of praise for 17-year-old
"Sterling was fantastic. He has been a revelation for us," added the England captain.
"Seventeen years of age away in a derby against a big, physical long-ball team I thought he was outstanding.
"The way he stands up, wants the ball and doesn't hide is a credit to him and he's got some bottle.
"That's what you look for in young lads. You wonder whether they have the bottle to play away from home against tough teams and difficult situations and he handled it superbly.
"I don't think the Everton players would have known much about Raheem but they are going to be seeing an awful lot more of him in future.
"He's going to be playing in many, many Merseyside derbies and he's going to have a major impact in them."
English Premier League
Andy Carroll is on the brink of joining West Ham United permanently after passing a medical with the Premier League club.