Kenny Dalglish praised a 'professional and composed' display from his players after Liverpool beat 10-man Everton 2-0 in the Merseyside derby at Goodison Park on Saturday.
The Reds had to bide their time before Andy Carroll opened the scoring at Goodison Park when he converted Jose Enrique's cross on 71 minutes after the Blues' Jack Rodwell was shown a straight red card midway through the first half.
It was the 20th red card shown in Merseyside derbies since the formation of the Premier League.
Luis Suarez was the villain in the eyes of Everton fans after he was involved in the sending-off of Jack Rodwell before scoring the second goal.
The Uruguay international was berated as a cheat by the majority of Goodison Park - and appeared to have a coin thrown at him - after making the most of Rodwell's sliding tackle midway through the first half.
Luis Suarez spoke of his delight after he and strike-partner Andy Carroll fired the goals which won the 216th Merseyside derby.
Andy Carroll scored his first Barclays Premier League goal of the season as Liverpool recorded a 2-0 victory over Everton in the Merseyside derby at Goodison Park.
Suarez, and the performance of referee Martin Atkinson, somewhat overshadowed Andy Carroll's first Premier League goal of the season.
His strike was the breakthrough and set his side on the way to victory which Everton had worked so hard for so long to deny their visitors.
The last time Kenny Dalglish left Goodison Park as Liverpool manager more than 20 years ago after a 4-4 FA Cup draw the major story developed two days later when he surprisingly quit citing health problems, brought on partly by the aftermath of the Hillsborough disaster.