I dug a trench and put in fifteen white asparagus roots yesterday, but I only went down one spit. I find that it works better to mulch rather than putting anything deep underneath, as the worms take it down much faster. I've buried dead leaves or geass cuttings before now, and found them still there a year later, while if I put the same quantity on top, it's gone long before then. So I put an inch or so of soil over the roots, then mulched with dead leaves. They can have grass cuttings next winter; I don't like putting horrible slimy masses of rotten grass on top of anything newly planted as it won't come through, but for autumn use it's great since there's so much goodness there.
There's more to go in today, but that was enough for one day, on top of a shopping trip and mulching onions.