Huh?
Can you give references to the terms “Church of Christ,” “Church of God,” “Universal church of God?” in the first centuries of Christianity? Then demonstrate that these terms (if they existed) referred to anything other than the Church to which the Catholic Church traces her origins?

I posted these things in that they refer to the Catholic Church, all of these titles the Church claims, also, I would like to add one, Apostolic.
St. Ambrose, Doctor of the Church, On the Eucharist: “we will take great pains to prove that the sacraments of
the Church are both more ancient than those of the synagogue…
The Church, beholding so great grace, exhorts her sons and her friends to come together to the sacraments…”
St. Augustine, De agon. Christ, III: “Let us not listen to those who deny that
the Church of God has power to forgive all sins”
St. Cyprian of Carthage:
“Does he who does not hold this unity of
the Church think that he holds the faith? Does he who strives against and resists
the Church trust that he is in
the Church, when moreover the blessed Apostle Paul…”
…bishops who preside in
the Church, that we may also prove the episcopate itself to be one and undivided…
The Church also is one, which is spread abroad far and wide into a multitude by an increase of fruitfulness."
Whoever is separated from
the Church and is joined to an adulteress, is separated from the promises of
the Church; nor can he who forsakes the
Church of Christ attain to the rewards of Christ…He can no longer have God for his Father, who has not
the Church for his mother. If any one could escape who was outside the ark of Noah, then he also may escape who shall be outside of
the Church. …He who breaks the peace and the concord of Christ, does so in opposition to Christ; he who gathers elsewhere than in
the Church, scatters the
Church of Christ.
St. Gregory Nazienzen (c. A.D. 329-389), Oration 26: “Seest thou that of the disciples of Christ, all of whom were great and deserving of the choice, one is called Rock, and is entrusted with the foundations of
the Church…”