dedee...sorry, as a fellow Oklahoman, I should have jumped on this topic when I first saw it. I don't box things for overwintering, so I left this question for someone else.
I would just plant the hostas and liriope where I wanted them, but if you don't have the time, keep them in a cool, dry place until you can. You might want to wrap them in the perforated plastic from a head of lettuce, but either way, you'll want to fill around them in the box with peat moss and or wood shavings. In Oklahoma, you can plant things right through the winter as long as they're dormant, and liriope in particular can take a lot of abuse. I hope this helps.