I would throw both the moldy stuff and the grass clippings in there. It shouldn't hurt anything.

I throw basically any and every piece of food scraps (pretty much everything besides bones, meat and oil) into the compost pile I use for vegetables. They seem to be doing fine and the veggies taste great.

I don't usually throw grass clippings into the compost pile because I like to use them as mulch.

Yes, green grass that has dried for a few days is still a 'green'. In fact that's one way to stockpile grass clippings when enough browns aren't available.

Moldy food waste is just anxious to decompose and is starting without you. Chuck it in there and help it fulfill its destiny!

Those white beards you see on the kitchen scraps is fungi that is working at digesting the stuff. Put it in your compost.
Whether dried grass clippings can be a source of Nitrogen or not depends on how they were dried and the age. Fresh grass clippings are supposed to be about 4 percent N (University of Missouri) but loose N as they dry. Some sources list the C:N ratio of fresh grass clippings as 20:1 and dry grass clippings at 50:1 while some others list the C:N ratio of grass clippings as always being 20:1.

"Those white beards you see on the kitchen scraps is fungi that is working at digesting the stuff."

Usually you get various strains of penicillium before you get the other fungi. The white fuzzy stuff that likes to grow over oranges and the like is typically a penicillium. Fine for compost.

This post was edited by TXEB on Fri, Apr 26, 13 at 7:44