Coffee grounds have a C:N ratio of about 20:1 while tree leaves have a C:N ratio of between 40:1 and 80:1 depending on how fresh they are, but you should pay more attention to what is happening in your compost pile than the numbers adn if your compost pile needs more coffee grounds to keep digesting add them, if things are pretty well digested and you do not need to add more, don't.

My pile gets hot occasionally. But for the most part, I have a cold compost system. Does anyone ever have enough compost? ;-) My garden plot is probably smaller than most, its just 10 x 10. I intentionally keep it small because I don't have a lot time or sunshine (shady lot). It took a long time to get a good first batch (cold composting is slow), but now that I have a continuous operation, I get at least two or three wheelbarrows full, twice each year. I do have a screen that sets on top the wheelbarrow when I am shoveling out finished stuff, to help screen out unfinished stuff. My bin is 4' x 4' x 4'. I bought two 8' prefab fence panels from Menards and cut them in half and then hinged them together. I stapled chicken wire to the inside. The entire thing will fold flat, if I want to move it. The hinges allow me to open one or two sides. Here are a couple pics:

usually the companies here give away their coffee grounds to other people or actually sell them -.-" i mean we don't have many coffee shops to begin with and the very few often run dry on used grounds as im not the only gardener in the state and we live in a small state since it's Hawaii. i often use my own grounds but i am talking about an outside pile i mean 1 cup of coffee does not yield a lot of grounds in general and the pile outside will need over 50 cups that is for sure more likely more due to some of the grounds washing away into the soil. but i have been using my urine to compost this pile 3 months into it been using it about 2 times a week moving into 3. and it's been doing great. the middle is all composted it's rich black and doesn't smell like piss. should be able to get a good yield within a year. would be less but people keep adding browns to it making it hard to harvest in time. it usually rains a lot and my pile can get rained on. im looking only to use the urine until it's composted a decent amount to the fact i can water it down and retain the moisture i'll use diluted urine

Probably won't make any difference in most piles. If you had a pile only of used coffee grounds and shredded paper, it might be a good idea. But my main 'brown' consists of finely shredded leaves, and I doubt that adding a few scoops of finished compost would speed things up. When I mix up a batch of matched fresh grass and or coffee grounds with finely shredded leaves, the core temp. zooms up to 150 to 160F in two to three days. Adding a bit of finished compost never hurts. But if you feel your mix is not heating up as much/fast as you expect; the answer may lie with another factor. Mix of greens and browns Freshness of greens Need small pieces Moisture too wet or dry Pile too small to retain heat.