I doubt she hurt the roots. When rabbits build nests in my garden, they rarely dig in very deeply, and certainly not as deeply as the asparagus roots are. Sometimes they are just barely under the mulch and not even really burrowed down into the soil. So, if you planted the asparagus at the recommended depth, I think the asparagus will be fine. I have observed that it is very hard to kill asparagus in general. What could hurt young asparagus plants would be if they are repeatedly nibbled down to the ground before the roots are older than yours, but there shouldn't be any new asparagus growth above ground for Ms. Bunny to be eating right now anyhow.

I keep the garden gates closed in the gardening season to protect the peas, beans and young nasturtiums, but generally open them up in December and leave them open at least until onion-planting time, which normally is mid-February here. While rabbits are common winter occupants of my garden, they really don't eat enough to hurt anything. I feel sorry for all the little bunnies because we have so many predators roaming 24/7 in winter that the cottontails struggle to survive, and I like having the rabbits around.

We did build our asparagus bed taller than the average raised bed so that, even when planted at the correct depth, the asparagus roots would be above grade level, which likely kept the asparagus alive when 24" of rain fell in May 2015 alone. I am not sure it would have survived if it were not in a tall raised bed because the asparagus bed is located at the downhill side of the garden, and there was standing water in the pathway just south of the bed for about 10-12 weeks. I have wondered if the taller raised beds keep the rabbit out of the asparagus bed just by making it more of a challenge to get into it. I've never found a rabbit in it and never have found damage in that bed from any creature.

Please don't fire your dogs. They weren't being lazy....just kind and compassionate. : ) Or, maybe they were thinking of a busy spring having fun chasing rabbits everywhere after Ma Bunny birthed a bunch of babies. I love baby bunnies, even in my garden, and my dogs won't chase them in the garden, but they'll chase them in the fields, though only half-heartedly. My dogs are old, though, and go out with me to feed the deer and the rabbits all winter, so they don't get all excited and want to chase deer or rabbits like they did when they were younger dogs. If your dogs are older, maybe they've gotten lazier like mine. Our two 15-month-old puppies still chase everything, including cats and chickens, so I have to keep a close eye on them, though it is handy to have aggressive young dogs when bobcats are lurking too close.

My dogs are old now, too. I don't think the older sees much at all, but the beagle still sniffs things out, don't know how she missed the bunny. It's a cinch she couldn't move fast enough to catch it. I watched her the other day. She saw the fat squirrel that had been eating bird seed, her ears perked up. Then she decided it wasn't worth the effort and continued sniffing out the compost pile.