Perhaps seeding other plants that your animals would prefer would help? You could seed certain spots to get them started, and once established see if they like it, and adjust as needed.
While their web site doesn't work too well, Heartwater Farm in Utah uses rotational grazing for the
cattle they raise:
Heartwater Farm (They are looking for interns BTW, to hopefully take over the farm as they are getting older and their kids aren't into it. Monolithic dome house on 20 acres, big
pond, full
solar, year round spring coming down from Bryce which is just north up the road.)
When I visited them, they explained that there was a lot of grasses in place that the cattle don't like, it was too tough. I think they had each paddock at 1/2 acre, and there were well over a dozen paddocks. I think there was around 20 cattle, and they would rotate every 1-2 days depending on how fast they ate. Once the grass was down to 6 inches (starting at 12-18") they were moved, so no chance of eating the soil based bacteria. Grass grows back before they return. They raise the cattle for someone else for their income, and keep one to butcher for all their meat for the year.
So to reduce the grasses which the cattle disliked, they would sow red clover each year, and it would beat out some of the existing grasses once the snow melts. It was a couple years in when I was there and they had converted maybe half of the nasty stuff. Each year got easier. There were a number of other plants that dotted the paddocks, that were
medicinal for the cows, and they would eat it now and then as needed instinctively.
edit to fix link*