Lissette met Adam Thomas' back-post cross with a firm header to open the scoring from a well-worked short corner in the 17th minute and Hicks doubled the lead in the 29th minute after Ryan Thomas set the midfielder through on goal with an incisive through-ball.
In the southern conference, Wellington bounced back from last week's 1-0 ASB Premiership defeat to Canterbury to regain valuable winning momentum ahead of a next week's visit from Waitakere in the league.
Lucas stuck first with a ninth minute header, then again in the 20th minute from an angled ball from Jamie Duncan before wrapping up his hat-trick with a fine solo effort that saw him elude two would-be tacklers down the centre of the pitch and beating the keeper one-on-one.
The White Ribbon Cup was introduced to give ASB Premiership clubs competitive matches during O-League windows.
The next round will be played on February 19 but the ASB Premiership resumes next Sunday with a Southern derby between Otago United and Canterbury United in Dunedin, a bottom-of-the-table clash between YoungHeart Manawatu and Waikato FC in Palmerston North, and Team Wellington hosting Waitakere United.
The other round five fixture between Hawke's Bay United and Auckland City has been postponed to Waitangi Day with Auckland competing at the Club World Cup next week.