This Wikipedia article says that the Ethiopian Catholic Church uses the same canon as the Ethiopian Orthodox Church.
This website lists two different canons for the Ethiopian Orthodox Church, one of them being…
1. The Broader Canon
The main source for this is the traditional Amharic commentary on the Geez text of the Fetha Nägäst.[4] It gives 46 as the total for the books of the Old Testament, made up as follows: - Octateuch (8), Judith (1), Samuel and Kings (4), Chronicles (2), 1 Esdras and the Ezra Apocalypse (2), Esther (1), Tobit (1), Maccabees (2), Job (1), Psalms (1), books of Solomon (5),[5] Prophets (16), Ecclesiasticus (1), Pseudo-Josephus (1); Jubilees and
Enoch are to be included in the number (by counting Samuel and Kings as only 2 books). It gives 35 as the total for the books of the New Testament, namely the Gospels (4), Acts (1), the Catholic epistles (7), the Pauline epistles (14), Revelation (1), Sinodos (4 sections), the Book of the Covenant (2 sections), Clement (1), Didascalia (1).
This seems to be the canon used by the Ethiopian Catholic Church as described by Bishop Ghebreghiorghis at the recent Synod of Bishops:
“All the books of the Bible which are considered canonical by other Christian churches are such also for the Eritrean-Ethiopian Church which, moreover, possesses the greatest number of inspired books: 81 books, 46 in the Old and 35 in the New Testament. In the Eritrean-Ethiopian tradition, the concept of canons is flexible and tends to include, rather than exclude” (Eighth General Assembly).
I’d post the hyperlink to his comments, but after a brief search, I can’t find them on the Vatican’s website anymore. May God bless you!