Falkirk manager John McGlynn tells BBC Scotland: "I think in the second half we made it hard for ourselves. I think in the first half we played extremely well.
"We scored a really good goal, had another one ruled out for offside, and then got that two goal cushion.
"We were delighted at half-time and asked for more of the same. Fair play to Livingston, they got that goal back early in the second half.
"It was a bit nerve-wracking and we made it a bit more difficult for ourselves than it needed to be. We had chances to kill it off, hit the post, and there were other shots.
"We've not got the greatest record here so it is all about winning. It was a bit more stressful than it needed to be. But credit to Livingston for having a better second half performance.
"The fans were magnificent. We're taking big numbers everywhere we go so credit to them. We needed them to help us get over the line and they helped us no end."
Livingston manager Marvin Bartley: "When you play games of football and you cost yourself with two goals in the first half, maybe people will say you don't deserve anything.
"In the second half we got a massive reaction from the players but I told them we shot ourselves in the foot twice with the goals we conceded and we need to eradicate that if we're to have a chance of staying in this league.
"At half time I told them that at 2-0 down there's two ways you can look at it. You can say 'That's us done' or you can show a reaction with a bit of fight and a bit of spirit.
"We need to take care of the things we can control and for me we didn't do that today.
"It's one game. There will be a lot of learning from that.
"We've got a massive game at Celtic Park, and all games are massive for us now, but we'll look back on that with the staff, tell the players what they did well, what we didn't do so well, and improve."