Carroll — the club’s much-maligned £35 million record signing — glanced in a Craig Bellamy free-kick in the 87th minute to keep Liverpool on course for a domestic cup double.
It was the second time in five days that Carroll had come to Liverpool’s rescue after scoring an injury-time winner in the Premier League victory over Blackburn in midweek. Carroll’s decisive strike came after Liverpool had fought back to level through Luis Suarez on 62 minutes following Nikica Jelavic’s opener for Everton.
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