It says at Star-K that after taking off terumot and maasrot one should wrap the vegetation in plastic and discard:
"Wrap the broken or cut-off piece in plastic and discard."
According to Jewish law can anything else be done with it (in this generation)? (What is the minimum thing need to be done with it?)
Can it be put in a compost pile? Can it be left in a field for the wild to take care of it?