Livvo was sent off after just 20 minutes for a professional foul on Imps striker Gary Fletcher. Referee Carl Boyeson issued a straight red for the veteran, as the Cumbrians crashed to a 2-0 defeat.
The 34-year-old's time at Brunton Park has proved to be a disaster since his move in the summer. Starting just seven games, Livvo has found himself sent off twice and booked three further times. He's yet to score and the club are rock bottom of the Football League, with the nearest team 10 points away.
Livvo's first sending off came on his Carlisle debut after just 34 minutes for fighting with York player-boss Chris Brass. That game also saw ex-Mariners Paul Raven (Carlisle) and Lee Nogan (York) score.