text: You say, "The Eastern Catholic Churches accept all the teachings of the Catholic Church."  YES, they ACCEPT all the teachings..BUT interpret and practice them differently.  That is indeed WHY there are DIFFERENT Catholic Rites/Churches today...different interpretations of the SAME teachings. 
  
  See https://ritebeyondrome.com/2016/05/02/diagram-of-riteschurches-from-jerusalem/ for a chart of different Catholic Rites from as far back as the earliest Jerusalem Church.  In a Living Church, is there still room for other Catholic Rites?  A Vatican II Rite Church?