The league cup (As it is better known) has been won most times by Liverpool (Seven times).
Liverpool
Arsenal have won the carling cup 102 times
Liverpool FC have won the Carling cup six times.
arsenal has won the carling cup only twice
Chelsea have won the League Cup 4 times, and twice as it's sponsor named "Carling" Cup.
The Carling Cup is the former name of the current Capital One Cup. Tottenham Hotspur F.C. has won this cup four times.
it was Chelsea who won the carling cup 2009
two times
11 times
7 times
Middlesbrough have won only one Carling cup.
8th including 2012 cup