"But in order to legitimize his heresy, Calvin had to present his new teaching as something ancient. Therefore, he appealed to the authority of St. Augustine. But Augustine, "the Doctor of Grace," was in no way a Calvinist, for in one sentence, he rejects TULIP: "If, however, being already regenerate and justified, he relapses of his own will into an evil life, assuredly he cannot say, `I have not received,' because of his own free choice to evil he has lost the grace of God, that he had received."
There was a reformation in the church.The reformation was about doctrine that differed from Rome.
So when a NC group denies the doctrine of the reformation they are considered "romish" or romanish meaning they continued in the teaching of Rome in that area..(BTW I usually do not use the phrase "romish" it was an uncomfortable feel to it for me to use).
The quote you give has been discussed many times..I see someone gave you links
Augustine believed in election..he wrote it
It was actually Luther that was the most prolific writer on predestination and election BTW not Calvin. But for some reason the belief in the Sovereignity of God has carried his name as a "nicnmame"
So consider this..Two Catholic are the fathers of Calvinism..:>)