biggest issues I find 1) outfielders throwing that seed low enough to be cut instead of letting ball come thru to home. 2.) proper placement of 1B (or 3b) to cut the throw and 3) catcher's knowing to yell 'cut'
Honestly, a lot of the responsibility of a cut falls on the cutoff themselves. The hardest thing is to get the cutoff to look around at the runners (after getting themselves in the proper position). There are a number of "automatic cuts". Off line throw, a throw from the outfield that was too high and dropping into the cut, (vs the proper thru the cut throw), etc. There are so many variations hence the need for practice.
However, don't expect to solve these issues in a practice or two. For DD's team, this scenario is done every single weekend, week in week out. They're all high level players but are still getting it.