Desert willow and yuccas

Can anyone tell me how long I need to let yuccas and desert willows sit in the sun after cutting them down before I can bury them?

I don’t want them to sprout again.

I guess I’ll just put them out with the trash to be thrown in the landfill.

I"m surprised you have them in Indiana!  I'm in West Texas and yuccas are all over the place.  I would imagine at least a month for those, but that's my SENSE and not my DATA.  We've been on our 20 acres for 15 years and have knocked a few over to build various things, and the only ones that resprout are those with roots still in the ground (even under a repeat car wheel in the driveway!)  We do have some dead whole ones above ground that have never sprouted... So I don't have experience of re-burying them yet.  I'm certain, though, that you could remove all the "beard" material and bury that without fear of them sprouting... and there's a lot of that as biomass.  

Thank you for answering.
I need to update my profile. We moved to New Mexico a couple months ago.

I have a small lot with just desert weeds that have seeded here. We are taking out everything and planting fruit trees. The soil is just sand and clay, no worms at all. A neighbor told me I can’t  have a compost pile unless its covered because of rats and roaches so I have been burying kitchen scraps and anything I can to enrich to soil.
It’s all different than what I was used to in Indiana.