Depends on the depth of your raised beds, chuckl. Some folks don't have but a foot above the yard, and yard waste means grass clippings. I used dead branches in the bottom of my beds. Kind of following the HugelKulture methods. Be careful which wood, since some woods are allelopathic, some woods like black locusts will grow from a dead branch I firmly believe and really, if you add leaves, they should be shredded. Kitchen vegetable scraps you bury down there should be a year, but if more than a foot down should be ok, depending what you plant over them.
I have a mix of dirts, (bags of container or raised bed soils, shredded wood mulches, cow manures and humus, leaf composts, try not to use a moisture control product as it can stay too wet)-even a few potting soils thrown on top. Also eggshells nuked 3 minutes and crumbled every year...I also have fire ants and use excess water to keep them out of the beds, so consider drainage when you do this. Be careful with straw as it may have weed herbicides in it that will also kill your plants, or warp them so horribly you will think you have failed.