Complex sentence: The Khafiya school and non-Sufi gedimu tradition--both tolerated by Qing authorities--were referred to as "Old Teaching" (老教), while Jahriya, viewed by authorities as suspect, became known as the "New Teaching" (新教).
Split into simpler sentences: The Khafiya school, as well as non-Sufi gedimu tradition, both tolerated by the Qing authorities, were referred to "Old Teaching" (老教). While Jahriya, viewed as suspect, became known as the "New Teaching" (新教).