In their 2-0 win at the Balmoral Stadium on Saturday, Cove Rangers scored twice from set plays with Mitch Megginson on the end of a flick on both times to find the back of the net.
In their 2-1 defeat at Airdrieonians earlier this month they also went behind to a goal which was the result of a long throw in to the penalty area.
Mutch, who did produce some good saves in the 2-0 defeat at Cove, says it’s not a new problem for the Bairns and that they need to be braver when defending set plays.
He said: "Obviously I try and help out as much as I can, coming and taking crosses or what not.
"I think we just need to be harder and braver, the majority of goals I have had scored against me this season have been from set pieces so it's not as if it's something that's just come about.
"It's been since the first game of the season, I don't know what it's down to, we really just need to go and win those headers.
"We started with three centre halves today so there's no excuse to not go and win those headers."
Mutch added that he felt Cove looked more up for the game on Saturday.
"It's an opportunity missed, we could have extended our lead at the top but now it's as tight as anything.
"We came up here with a game plan to win but obviously we didn't go out and do it on the pitch.
"It seemed as if Cove were better in every aspect of the park, winning first headers and second balls, it looked as if they were up for the battle and we weren't.”
Falkirk now turn their attentions to their final league fixture before the split on Tuesday night against Peterhead.