In 1936, the Patriarchate of Moscow issued Letters Patent regarding the use of the Western Rite. In 1937 in France, Father Eugraph, who had been studying the Orthodox origins of the West European Church, was joined by a group of Old Catholics wanting to return to Orthodoxy while still retaining their Western liturgical Use and customs. They came under the guidance of the Russian Orthodox Archbishop John (later canonised as Saint John Maximovitch) to whom they had been directed by a monk of Mount Athos in Greece. Archbishop John supervised and approved the restoration of the ancient Gallican Liturgy for use in France.
In 1958, the Patriarchate of Antioch adopted the services taken the Book of Common Prayer for use by its people. In Holy Week 1961, on the authority of Patriarch Alexander III of Antioch, Archbishop Anthony in North America, received Father Alexander Turner and a group of Parishes into the Orthodox Church and blessed them to use the Western Rite.
Then in March, 1962, Abbot Augustine Whitfield and the Benedictine Monastic Congregation of Our Lady of Mount Royal was received by the Russian Orthodox Bishop Dositheus. In 1975, Archbishop Nikon received the Monastery into the Russian Orthodox Church Outside of Russia, continuing the Western Rite blessing.
In 1980, Father Michael Trigg and the former Anglican Parish of Saint Michael’s, Whittier, were received into Orthodoxy by Archbishop Phillip, Metropolitan of the Antiochian Orthodox Church in North America. The Antiochians had set up a Western Rite Vicariate directly under the Metropolitan Archbishop as a home for such parishes. Over the years, former Anglican Parishes have been able join this as Western Rite Orthodox, maintaining their familiar worship and customs. One good example is Saint Mark’s Church in Denver. An amalgamation of elements of two former Episcopal Church parishes, it joined the Antiochian Orthodox Western Rite Vicariate in 1992. It now has a 350 strong congregation and has formed at least four daughter Parishes.
In 1993 the Monastery of Christ the Saviour was established in Rhode Island as a Western Rite Monastery of the Russian Orthodox Church Outside of Russia. In 1997 the former Continuing Anglican Monastery of Saint Petroc in Tasmania was received into the Russian Orthodox Church Outside of Russia. This latter case is interesting in that the Monastery, its Parishes and people were blessed to the Western Rite and it was instructed to act in a missionary role, establishing further Parishes and Missions throughout Australia and New Zealand.
A Rood Screen. 
This paragraph is inaccurate. Abbot Augustine (Whitfield) and Prior John (LoBue) had followed their Old Catholic Bishop, William Francis Brothers and his St Dunstan Priory into the Moscow Patriarchate in 1962. They were given the title of Moscow Patriarchate's Exarchate of the Western Rite. When Bishop William (Brothers), Abbot John (LoBue) and others left the Moscow Patriarchate Abbot Augustine (Whitfield) was permitted to remain under the MP to establish his Monastery of Our Lady of Mount Royal; then in 1975 he was received into ROCOR as stated.