Glass clippings for vegetable garden safe for compost?

If I scoop my grass clippings into my garden to help prevent weeds from taking hold, and to give extra compost to my garden, would this be okay? Or does the grass take root and begin growing again?
Thanks for any advice? Also, is newspaper a safe and good weed preventative/compost additive? (I already use kitchen scraps and old flowers or plant leaves in my garden by cutting them into small pieces and letting them decay naturally)..I am just being over run by weeds, and I do everything completely 100% organic.

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