It was sometimes known as the Idrisiyya or Ahmadiyya (not be to confused with the Ahmadiyya of Mirza Ghulam Ahmad) after Ibn Idris himself, and sometimes as the Muhammadiyya after Muhammad.
After his passing, his son Shaykh Abd al-Ghani al-Ja'fari collected and published the poems and litanies of his father, and officially founded the Ja'fariyya Tariqa, or the Ja'fariyya Ahmadiyya Muhammadiyya in full.