In February 2012 Liverpool FC won the Carling Cup trophy, their eigth time winning the trophy and the first time they won a trophy in six years.
In fact the last time Liverpool FC won a major trophy was 6 years ago in 2006 when they narrowly won the FA Cup through a penalty shoot-out, having salvaged a last gasp goal to equalise 3-3 against West Ham United.
Whilst it is true that they won the Carling Cup in the 2011-12 season, the Carling Cup has never been considered a "major trophy" by anyone.
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At the time of writing (in the middle of 2010/11 season) Liverpool FC last won the FA Cup and the FA Community Shield in 2006.
Liverpool has won several trophies including eighteen League titles, seven FA cups, eight League cups, five European cups, three UEFA cups, and three UEFA super cups.