|Hair shirt? Been there, done that|
That question is, of course, purely hypothetical as we do not know what indiscretions the Order is supposed to have committed.
But, I think I would start at the penitential end; I might consider asking those in the Order to undertake some form of penance such as dedicating one day each week to mortification and prayer.
Or, possibly, abstaining from meat for three months, or wearing hair shirts - but, perhaps the good Friars already do those sort of things.
These days, punishments are supposed to be given in a positive manner. Thus, if the sixth form at school had corporately committed some offence, they might be required to give up their free periods or time to works of good mercy, maybe even praying for a specific period before a crucifix.
If you applied this to the Friars, you could impose on them the duty to increase the number of EF Masses they attend daily....to beneficially open up the potential for an increase in God's grace and a greater spiritual depth to those in the Order.
It was just a thought.