Religious Confucianism is an interpretation of Confucianism as a religion. It originated in the time of Confucius with his defense of traditional religious institutions of his time, such as the Jongmyo rites, and the ritual and music system.
The Chinese name for religious Confucianism is Rujiao, in contrast with non-religious Confucianism, which is called Rujia. The differences can be roughly translated with jiao meaning religion, and jia meaning school, although the term Rujiao is ancient and predates this modern usage of jiao.