My compost is mostly food scraps covered with a bit of soil. I occasionally throw in cardboard and sometimes I add plain white paper towels that have only been used for wiping my hands or a washed food (like fruit) dry. If I have them, I will add dry leaves from time to time, but I recently set up a leaf bin in the back yard by cutting the bottom off of a black trash bag and putting it around a tomato cage.
If I have them I sometimes add coffee grinds and eggshells, but different plants have different needs, so you could compost grass clippings separately to prevent adding too much nitrogen, etc. I don't like chemicals and bacteria so I stay away from printed paper.