There are a lot of answers to this question as the Moon influences Earth and its inhabitants in many ways.
Perhaps the greatest effect the Moon has on Earth is to create tides. The relatively slight gravitational pull of the Moon pulls on Earth’s large bodies of water, creating high and low tides. Water gathers where the Moon passes closest to Earth, creating high tide. Low tide results from water leaving one area to form high tide in another.
Land does not move as easily as water, but Earth’s surface rises and falls as the Moon passes over it—an inch or two in some places.
Nocturnal animals are highly sensitive to the Moon’s phases. Small creatures, such as mice, may be more cautious during a Full Moon since then they are more visible to their predators. Predators, such as foxes, in turn, use the nighttime shadows as cover so they aren’t easily seen by their prey.
Many flowers, although open during the day, release their fragrance only at night. Some night-blooming species open only when the Moon is shining. Show what the Sun looks like during the different types of solar eclipses.
More baby animals are born during a Full Moon than at other times of the month.