The Council of Carthage was but one of many local African Councils. It was, in no way, binding on the entire Church.
Catholic Encyclopedia - The 21 Ecumenical Councils
The most explicit definition of the Catholic Canon is that given by the Council of Trent , Session IV, 1546. For the Old Testament its catalogue reads as follows:
The five books of Moses (Genesis, Exodus, Leviticus, Numbers, Deuteronomy), Josue, Judges ,Ruth, the four books of Kings, two of Paralipomenon, the first and second of Esdras (which latter is called Nehemias), Tobias, Judith, Esther, Job, the Davidic Psalter (in number one hundred and fifty Psalms), Proverbs, Ecclesiastes, the Canticle of Canticles, Wisdom, Ecclesiasticus, Isaias, Jeremias, with Baruch, Ezechiel, Daniel, the twelve minor Prophets (Osee, Joel, Amos, Abdias, Jonas, Micheas, Nahum, Habacuc , Sophonias, Aggeus, Zacharias, Malachias), two books of Machabees, the first and second.
Catholic Encyclopedia - The canon of the Old Testament in the Catholic Church
It was binding in the jurisdiction of the western patriarch (the pope of Rome), not the eastern four patriarchates.
Catholic Encyclopedia - The 21 Ecumenical Councils. The most explicit definition of the Catholic Canon is that given by the Council of Trent , Session IV, 1546. For the Old Testament its catalogue reads as follows:
The Council of Carthage stipulates the following canon of the OT (AD 397): "It was also determined that besides the Canonical Scriptures nothing be read in the Church under the title of divine Scriptures. The Canonical Scriptures are these: Genesis, Exodus, Leviticus, Numbers, Deuteronomy, Joshua the son of Nun, Judges, Ruth, four books of Kings, two books of Paraleipomena, Job, the Psalter, five books of Solomon, the books of the twelve prophets, Isaiah, Jeremiah, Ezechiel, Daniel, Tobit, Judith, Esther, two books of Esdras, two books of the Maccabees."
Note that the five books of Solomon inlcude Proverbs, Ecclesiastes, Song of Songs, Wisdom of Solomon, and Ecclesiasticus. Ecclesiasticus, the Wisdom of Solomon and Maccabees (2 in Catholic, 3 in Orthodox canon) are not included in the Protestant canon. So, all the apocrypha of the Council of Trent were included in the Council of Carthage (397 AD), which was finally ratified in 411 AD.
What the Cathodic encyclopedia means by "most explicit" is that the books were individually mentioned (explicitly) rather than inclusively (implicitly), such as "Paraleipomena" = Chronicles, Esdras Ezra and Nehemiah, etc. It does not mean that Trent added any new books. That is a Protestant myth or just plain ignorance.