Tim Howard - 7.5
His excellent penalty save against Dirk Kuyt in the first-half counted for nothing as he could do nothing to prevent Liverpool's two goals.
Sylvain Distin - 5
Had a solid first-half but started to show signs of nervousness after the break. It was his clearance that handed Luis Suarez an easy chance to slot in Liverpool's second.
Phil Jagielka - 8
The England centre-back singlehandedly held the Everton defence together despite the home side being one man down.
Leighton Baines - 6.5
Had a mix-up with Distin in the penalty area that led to an easy finish by Suarez to send the game beyond Everton's reach.
Tony Hibbert (Off 79') - 6.5
The Everton right-back stayed firm against the threat of Stewart Downing.
Jack Rodwell (Sent off 23') - 6
It's a shame he lasted for just 23 minutes into the derby after being harshly dismissed for a foul on Luis Suarez. Which means he did not have the time needed to make an impact on the game.
Marouane Fellaini - 7
A whole hearted and dynamic performance by the afro-head midfielder. Helped out in defence when needed and gave Liverpool a tough challenge in midfield.
Leon Osman (Off 79') - 6
Hardly had any meaningful impact on the game. Was taken off for Phil Neville in the second-half.
Seamus Coleman (Off 59') - 5
Struggled to keep up with the pace of the game against the more illustrious and expensively assemble Liverpool midfielders.
Louis Saha - 7
The French striker was a constant thorn in the Liverpool defence and came close to scoring on a couple of occasions.
Tim Cahill - 7
Came close to scoring in the first-half with a looping header which Reina managed to tip over. Else, the Australian striker put in a hardworking shift up front.
Royston Drenthe (On 59') - 6
A lively performance after coming on for Coleman.
Phil Neville (On 69') - 5
Did not have the desired effect after coming on for Osman.
Apostolos Vellios (On 79') - NA
Pepe Reina - 8
Showed safe hands throughout the game and produced a magnificent save to deny Cahill's looping headed effort in the first-half.
Jamie Carragher - 8
It was Carragher at his best. The veteran defender was obviously fired up for the Merseyside derby and did well to silence threat of Everton.
Martin Skrtel - 8
Struck a solid partnership with Carragher in the heart of the Liverpool defence.
José Enrique - 8
Gave the Everton defence much to worry about with his clever runs and crosses from the left. Crossed in for Carroll's opening goal.
Martin Kelly - 7
An assured performance by the young Liverpool right-back. Hardly put a foot wrong despite the occasion of the Merseyside derby.
Charlie Adam - 6.5
Marshaled the Liverpool midfield well in his first ever Merseyside derby. Made way for Steven Gerrard in the second-half.
Lucas - 8
Another no-frills and effective performance by the once maligned Brazilian midfielder.
Stewart Downing - 6.5
Was well contained by the Everton defence thus unable to put in his usual supply of crosses from the left.
Dirk Kuyt - 6.5
Everyone expected him to convert the penalty in the first-half, but Howard had other ideas as he turned his effort around the post. Else, the Dutch international was at his usual hardworking self but struggled to find a way through the Everton defence.
Andy Carroll - 7
Found little joy up front against the tight Everton defence all afternoon. But under-fire striker silenced his critics with a well executed volley from Enrique's cross.
Luis Suárez - 8
Endeared himself to the Liverpool faithful with an excellent performance at Goodison Park. Finished off Everton with an easy chance presented to him in the box.
Steven Gerrard (On 67) - 6
The Liverpool captain was thought to be starting for the game but came off the bench for Adam. Stabilized the midfield with his presence.
Craig Bellamy (On 67') - 6
Injected a much needed energy into the game after coming on.
Jordan Henderson (On 88') - NA