Apples? Oranges? Suppression?

Can anyone help me understand the connection between the formal suppression of the Cistercians of Santa Croce and Our Lady of the Holy Cross Abbey, OCSO, Berryville, Virginia, my favorite sight of retreats for over thirty years? IS there a connection between the two varieties of Cistercians?

My initial reaction is not, "There has to be some kind of mistake here;" I am too much the faithful son of the Magisterium. Rather, my response is, "Are we talking about two different branches of what call themselves 'Cistercian' in our Catholic universe?"

Clarification, gentle reader, if you please. Hearty thanks!