Gravity......yes
Acretion is gravity in action
Did you read my explanation of why gravity is the mechanism? Accretion has very little to do with it. Moon tugs on the oceans, the friction slows the Earth's rotation and some of the Earth's angular momentum is transferred to the Earth-Moon binary system's rotation, which causes to Earth and Moon to move apart. Not accretion.
"astronomy the process in which matter under the influence of gravity is attracted to and increases the mass of a celestial body. The matter usually forms an accretion disc around the accreting object."