Here is a summary of issues regarding the numbering of the Books of Ezra/Esdras and 3 Ezra, and the presence of 4 Maccabees in some Orthodox Bibles.

In the Old Testament of the Orthodox Study Bible (OSB), an English translation of the Greek Septuagint, there is no 3 Esdra as in Slavonic and Russian Bibles, which drew the latter from the early Latin Vulgate. (Note that the name is variously spelled Ezra, Esdras, and Esdra.)

In the OSB, 1 Ezra is listed also as 2 Esdras, and 2 Ezra is also listed as 2 Esdras. Then Nehemiah is listed. In the listing of books of the Old Testament in Slavonic and Russian tradition by Metropolitan Anthony (Khrapovitsky) in the early twentieth century (in his Catechism), the First and Second Books of Ezras (Esdras) and Nehemiah are listed by those titles, but in combination as one numbered book. Then he mentions the Third Book of Ezra separately among prophetic writings of scripture.

In the appendix volume to his early-modern English translation of the Old Testament Septuagint, the Orthodox scholar Michael Asser includes the books of Ezra (Esdra) as they appear in Slavonic and Russian Bibles–the First, Second, and Third Books of Esdra. He notes that 3 Esdra “is not found in the Hebrew and Greek. The Slavonic and Russian translations were made from the Vulgate …. 3 Esdra is found in the Slavonic Bible as the last Book of the Old Testament, following 3 Maccabees,” as a kind of appendix.

There is a history of some confusion over the numbering of the books of Esdra. The early Vulgate of St. Jerome includes only one book of Esdra, but the later Catholic Clementine Vulgate split it into 1-4 Esdras. Protestant writers called 1 and 2 Esdra from the Vulgate Ezra and Nehemiah respectively, while titling 3 and 4 Esdra of the later Vulgate as 1 Esdras and 2 Esdras, which were labeled deuterocanonical or apocrypha in Western Bibles. 4 Esdras was a creation of Medieval Latin manuscripts. Other ways of shaping and framing the Books of Ezra or Esdra(s) have appeared in Latin and modern critical editions.

Fr. Michael Pomazansky in his Orthodox Dogmatic Theology notes that 2 Ezra and 3 Ezra are not considered “canonical” books in Orthodoxy, but included in Orthodox Scripture as among what the Greeks called those books “worthy to be read” in Scripture, given that the list of canonical books of the Old Testament was related to those books in Hebrew (but the Jews in the Middle Ages accepted only a smaller number of Old Testament books in their canon in the later form of the Masoretic Text).

Historically, the Greek Orthodox Church  printed 4 Maccabees in their Bibles together with the rest of the Old Testament, but this did not entail that they officially considered 4 Maccabees “canonical.” More recently, the Greek Church moved it to an appendix.