Anything that's ever been alive will rot sooner or later; some things take so long that they aren't worth including in a compost heap/bin, such as leather, bones and cotton fabric. Whatever you compost, the smaller you can break it down, the quicker it will rot. The sort of material you mention can sometimes be chopped up by spreading it over the lawn (if you have one) and running the mower over it. Bulky non-woody stuff often benefits from crushing with a hammer.
Pretty much all top growth of perennials , and annuals is fine @alun6 If you're concerned about anything else in addition to josusa's advice, there's also quite a few composting threads too, if you take a look using the search facility at the top of the page.
@josusa47 - re the leather, bones and cotton - have you been trying to bury a body?
It's a place where beautiful isn't enough of a word....
I live in west central Scotland - not where that photo is...
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If you're concerned about anything else in addition to josusa's advice, there's also quite a few composting threads too, if you take a look using the search facility at the top of the page.
@josusa47 - re the leather, bones and cotton - have you been trying to bury a body?
I live in west central Scotland - not where that photo is...