The two games were the start of a run of seven in 15 days to complete Lancashire’s T20 group campaign.
They have further fixtures on Wednesday, Friday and Sunday before finishing with trips to Yorkshire and Nottinghamshire Outlaws next Thursday and Friday evenings.
The Red Rose are well placed to progress to the knockout stages, but Croft is concerned about the demands being placed on the players.
Livingstone pulled up during his innings of 35 and needed a runner, while Mahmood went off after bowling three overs.
“Putting the players at risk, we saw two players walk off the field through injury, which is never nice to see,” he said.
“But I think it’s such an easy fix in my eyes and other people’s.
“It’s a bit of a bridge too far to ask the lads to go out with such a quick turnaround. It’s a bit of a mess but it is what it is.”