What non-canonical texts do Eastern Catholic liturgies use?

There are some books considered to be canonical by (some) Eastern Orthodox and Oriental Churches, but not by the Latin Church. E.g. 3+4 Maccabees. The Eastern Catholic Churches kept their own spirtitual heritage despite the union with Rome. If the canon of the Vulgate is valid for the whole Church as suggested here (after Trent), are there other "traditional" books used in the (liturgies of) Eastern Catholic Churches? What status do they have?