Is lion dancing a tradition of Buddhism or Taoism?

The customs and habits of different places are different, so the styles are different. The lion is the mount of Manjusri Bodhisattva, so when dancing the lion, a person holds the head of big-head monk dance to guide the lion, symbolizing that the Bodhisattva came to the world with the mount.

The Monkey King and the lion mean that the Monkey King beat the lion with a stick. There is a saying in Journey to the West.