https://www.bloomberg.com/news/articles/2017-04-27/moon-eating-diet-how-to-live-your-life-according-to-lunar-phases?utm_source=newsletter&utm_medium=email&utm_campaign=newsletter_axiosam
Basically, moon eating takes many of the tenets of clean living that are already trending around the world (eating organic, unprocessed foods that are locally grown or foraged, reviving ancient grains, etc) and adds a layer of timing based on the phases of the moon. The idea is, you eat certain foods at certain times—acknowledging something that the centuries-old civilizations recognized, which is that the human body and our behavior operate on roughly monthly loops like the menstrual cycle.
If you are able to grow your own food, even better.