No need for chemical killers. The grass dies as a result of lack of light. I prefer corrugated cardboard for first layer. No light>>> no photosynthesis >>>dead grass. Be sure edges of cardboard or paper overlap well. I've never used weed cloth at all for any purpose, I've heard horror stories about the stuff. Also, no need for soil or compost, stuff like yard waste- grass clippings, fall leaves, coffee grounds, straw- will do the job.
Karen
