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Alexander Isak scored his first goal for Liverpool while Hugo Ekitike was sent off after bagging a late winner as the hosts beat second tier Southampton 2-1 at Anfield to reach the fourth round of the Carabao Cup.
The Swede, a record £125million (€143.1m) signing from Newcastle United, opened his account in the 43rd minute - 38 seconds after Southampton's Adam Armstrong had hit the crossbar - off a Federico Chiesa pass.
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He was then sent off for a second yellow after removing his shirt in celebration.
Chelsea's Facundo Buonanotte (second left) with his side's second
Club World Cup champions Chelsea suffered an early scare at third tier Lincoln City but came back from a shock goal down at half-time to win 2-1
Paraguayan midfielder Diego Gomez scored four, including a 33 minute first-half hat-trick, as Brighton thumped third tier Barnsley 6-0 at Oakwell to reach the fourth round for the fifth time in six seasons.
Wrexham gave their Hollywood owners another home night to savour by beating Reading 2-0 while Fulham beat fourth-tier visitors Cambridge United 1-0 at Craven Cottage.
Holders Newcastle United host Bradford City on Wednesday, when top-flight rivals Arsenal, Tottenham and Manchester City are also in action.