Augustine:
The RCC includes the Vulgate version of 1 Esdras in its canon, not the Septuagint version. But Augustine seemed to include the Septuagint version of 1 Esdras in his canon, not the Vulgate version. This is indicated by his reference to a story about a discussion among three men, which is included in the Septuagint version of 1 Esdras, but not the Vulgate’s:
“After these three prophets, Haggai, Zechariah, and Malachi, during the same period of the liberation of the people from the Babylonian servitude Esdras also wrote, who is historical rather than prophetical, as is also the book called Esther, which is found to relate, for the praise of God, events not far from those times; unless, perhaps, Esdras is to be understood as prophesying of Christ in that passage where, on a question having arisen among certain young men as to what is the strongest thing, when one had said kings, another wine, the third women, who for the most part rule kings, yet that same third youth demonstrated that the truth is victorious over all.” (The City of God, 18:36)
Cyril of Jerusalem:
“For the process was no word-craft, nor contrivance of human devices: but the translation of the Divine Scriptures, spoken by the Holy Ghost, was of the Holy Ghost accomplished. Of these read the two and twenty books, but have nothing to do with the apocryphal writings. Study earnestly these only which we read openly in the Church. Far wiser and more pious than thyself were the Apostles, and the bishops of old time, the presidents of the Church who handed down these books. Being therefore a child of the Church, trench thou not upon its statutes. And of the Old Testament, as we have said, study the two and twenty books, which, if thou art desirous of learning, strive to remember by name, as I recite them. For of the Law the books of Moses are the first five, Genesis, Exodus, Leviticus, Numbers, Deuteronomy. And next, Joshua the son of Nave, and the book of Judges, including Ruth, counted as seventh. And of the other historical books, the first and second books of the Kings are among the Hebrews one book; also the third and fourth one book. And in like manner, the first and second of Chronicles are with them one book; and the first and second of Esdras are counted one. Esther is the twelfth book; and these are the Historical writings. But those which are written in verses are five, Job, and the book of Psalms, and Proverbs, and Ecclesiastes, and the Song of Songs, which is the seventeenth book. And after these come the five Prophetic books: of the Twelve Prophets one book, of Isaiah one, of Jeremiah one, including Baruch and Lamentations and the Epistle; then Ezekiel, and the Book of Daniel, the twenty-second of the Old Testament.” - Cyril of Jerusalem (Catechetical Lectures, 4:34-35)
John of Damascus:
“Observe, further, that there are two and twenty books of the Old Testament, one for each letter of the Hebrew tongue. For there are twenty-two letters of which five are double, and so they come to be twenty-seven. For the letters Caph, Mere, Nun, Pe, Sade are double. And thus the number of the books in this way is twenty-two, but is found to be twenty-seven because of the double character of five. For Ruth is joined on to Judges, and the Hebrews count them one book: the first and second books of Kings are counted one: and so are the third and fourth books of Kings: and also the first and second of Paraleipomena: and the first and second of Esdra. In this way, then, the books are collected together in four Pentateuchs and two others remain over, to form thus the canonical books. Five of them are of the Law, viz. Genesis, Exodus, Leviticus, Numbers, Deuteronomy. This which is the code of the Law, constitutes the first Pentateuch. Then comes another Pentateuch, the so-called Grapheia, or as they are called by some, the Hagiographa, which are the following: Jesus the Son of Nave, Judges along with Ruth, first and second Kings, which are one book, third and fourth Kings, which are one book, and the two books of the Paraleipomena which are one book. This is the second Pentateuch. The third Pentateuch is the books in verse, viz. Job, Psalms, Proverbs of Solomon, Ecclesiastes of Solomon and the Song of Songs of Solomon. The fourth Pentateuch is the Prophetical books, viz the twelve prophets constituting one book, Isaiah, Jeremiah, Ezekiel, Daniel. Then come the two books of Esdra made into one, and Esther. There 90 are also the Panaretus, that is the Wisdom of Solomon, and the Wisdom of Jesus, which was published in Hebrew by the father of Sirach, and afterwards translated into Greek by his grandson, Jesus, the Son of Sirach. These are virtuous and noble, but are not counted nor were they placed in the ark.” - John of Damascus (An Exposition of the Orthodox Faith, 4:17)