Gareth Taylor's side racked up a 5-0 win at St Helens Stadium in Group B on Wednesday evening.
The Reds' opening match of the competition was shown live on the WSL's official YouTube channel - supporters can catch up below.
Watch in full: Liverpool 5-0 Sunderland in Women's League Cup
Watch a full replay of Liverpool's Subway Women's League Cup victory against Sunderland via YouTube.
