There is no quick fix for bracken control!
It needs a programme formulating which may require anything between 3 to 10 years of active intervention, which could involve a combination of methods.
Crushing is designed to bruise the active stalk causing bleeding and eventual weakening of the rhizomes, a process which can be hastened by the additional intensive use of livestock in sectioned off areas, but bearing in mind the stock used must have access to fodder in order to prevent them being forced to eat the bracken, and the subsequent associated health issues.
I'm familiar with one experiment where pigs were used to disturb and root out rhizomes - which may have a relevant degree of success in lowland or woodland areas, but is hardly likely to be beneficial in upland areas where a conservative estimate put the rhizome weight down to as much as 40 tonnes per acre!

There is also the rather contentious issue of using animals to graze a potentially carcinogenic plant species, especially if those animals are destined for the food chain!

Other issues include the eradication of extensive bracken growth on hillsides, may render the ground subject to a higher risk of erosion, but on a positive note - eradication will also help get rid of the favoured habitat of the tick and the associated problems healthwise for both animals and humans.