Non-accredited schools that are seeking accreditation always highlight this fact and what it means for students who start before accreditation is award. This school does not, so it almost certainly is not seeking accreditation, and since it's degree program is pretty overtly not a traditional academic degree program (not even in theology), but a religio-political indoctrination program designed to create warriors for a particular political viewpoint on behalf of a theocratic faction within Catholicism, I doubt it would have much chance at accreditation if it sought it.