Rory Boulding and Robert Barr each scored twice as Livingston overwhelmed the hosts at the Falkirk Stadium.
Farid El Alagui finished off good work by Jay Fulton to give the Bairns a 29th-minute lead.
But Boulding's brace of strikes turned the match in Livi's favour before the break.
Barr extended the visitors' lead on 71 minutes after breaking into the area and finding the bottom corner.
Tam Scobbie's handball in the area resulted in a penalty, from which Iain Russell netted for Livingston's fourth.
David Weatherston pulled a goal back from El Alagui's cutback before Barr fired his second late on as Livi manager John Hughes claimed victory against his former club.
Bowman, Duffie, Dods, Wallace, Scobbie, Jay Fulton, Faulds, Mark Millar, Alston (Gibson 54), Weatherston, El Alagui. Subs Not Used: Amos, Rhys Bennett, Dale Fulton, Dick.
El Alagui 29, Weatherston 79.
McNeil, Ross Docherty, McCann, Fordyce, Scougall, Robert Barr, Kyle Jacobs, Keaghan Jacobs, Boulding (Russle 88), McNulty (Sinclair 57), Russell. Subs Not Used: Jamieson, McDonald, Travis.
Kyle Jacobs, Robert Barr, Keaghan Jacobs.
Boulding 36, 41, Robert Barr 71, Russell 74 pen, Robert Barr 84.