Juice the lime and lemon into a large glass. (You can use either/or or a combination.)
Add the matcha and turmeric, along with some freshly ground pepper and combine well. If you don't like turmeric, you can omit the turmeric and pepper and just make a green lemonade with matcha.
Fill the glass with water (warm or cold), and mix together well.
Add the extra virgin olive oil or coconut oil and stir. The oil will separate and float on top, which is OK. You can also use a hand held blender to help combine them better and make the mixture frothy and smooth (keeping in mind they will eventually separate again).