Uniate
greek
Divine Liturgy is used in several ways depending on which Rite you belong to. The Eastern Rite Church uses Divine Liturgy to refer to the Eucharist, and this usually lasts at least an hour in many of the Eastern Rites.
Gabriele Winkler has written: 'Die Basilius-Anaphora' -- subject- s -: Armenian Church, Armenian rite, Catholic Church, Coptic Church, Eucharistic prayers, History and criticism, Liturgy, Lord's Supper - Liturgy -, Texts 'Studies in early Christian liturgy and its context' -- subject- s -: Eastern churches, History, Liturgy, Litury, Orthodox Eastern Church
Germanus has written: 'On the divine liturgy' -- subject(s): Liturgy, Lord's Supper, Orthodox Eastern Church, Byzantine rite, Catholic Church
Vassilios Papavassiliou has written: 'Journey to the kingdom' -- subject(s): Doctrines, Lord's Supper, Lord's Supper (Liturgy), Orthodox Eastern Church, Liturgy
David J. Goa has written: 'Seasons of celebration' -- subject(s): Liturgy, Orthodox Eastern Church 'The Ukrainian Religious Experience' 'Eastern Christian ritual' -- subject(s): Bibliography, Eastern churches, Orthodox Eastern Church
F. E. Brightman has written: 'Eastern Liturgies' 'Liturgies, Eastern and Western, being the texts original or translated of the principal liturgies of the church : vol. 1: Eastern liturgies' -- subject(s): Liturgy, Eastern churches, Liturgies
Symeon has written: 'The liturgical commentaries' -- subject(s): Liturgy, History and criticism, Orthodox Eastern Church, Texts
Al Mares has written: 'Liturghierul lui Coresi' -- subject(s): Liturgy, Orthodox Eastern Church
Yes, both are of the Eastern Orthodox faith. The only major difference is the language of the liturgy (Bulgarian or Greek).
Generally For Roman (or Latin Rite) Catholics "liturgy" means any public offical service of the church (as opposed to private donations). So this would include all rites, ceremonies, prayers, sacraments and the like. This is a little different than Eastern Rite Catholics who generally reserve the word "liturgy" for only the Holy Eucharist.
The Divine Liturgy of St John Chrysostom, the Divine Liturgy of St James, and the Divine Liturgy of St Basil the Great are in use in the East (and churches in the West that use the Eastern Rite). The Roman Catholic Church also uses what is called the Tridentine Mass and the Novus Ordo Mass, also called the Mass of Paul VI.