This is the BYZANTINE-RITE ROMANIAN Church....I'm a cradle Catholic and have NEVER heard of this branch. It;s not Roman Catholic.
The Romanian Byzantine-Rite is a right within the Catholic Church. This Bishop submits to the pope and is in communion with all Roman Catholic Bishops.
The only differences between Byzantine Rite and Roman Rite Catholics concern liturgy and canon law, but Byzantine liturgical and canonical norms are subject to the pope's regulation. Otherwise, for instance in matters of doctrine, there are no differences.
That being said, this Bishop only has jurisdiction over Romanian Byzantine-Rite Catholics, so only Catholics belonging to this rite have to listen to him.
The Byzantine Rite is Catholic though --I've heard of it, it's one of the Eastern Rite Catholic but not Eastern Orthodox which is in schism with Rome.