Interesting revival of an old thread. Yes, we can publicly venerate the post-schism Orthodox saints except the few explicitly anti-Catholic ones; some Byzantine Catholics such as the Russian Catholic Church (failed mission; mostly non-Russians plus a few ex-Orthodox in Russia who switched on their own, just like the Russian Catholics 100 years ago) do liturgically.
I know there is a Ukrainian Lutheran Church that started with ex-Byzantine Catholics in the '20s or '30s, but I am positive that Pope Pius XI did not try to eliminate the Byzantine Rite in the Ukraine or anywhere else. (He signed off on making clerical celibacy the rule for all Catholics in America, which the church can do but was a mistake, causing a schism and much heartbreak.) I have no idea why the Ukrainian Lutheran Church's founders left the church. Anyway, joining a church even more Western than us in order to be more Eastern would make no sense. I've been to the Ukrainian Lutheran Church's website. They're not really a Byzantine Rite church. Rather, they're regular Western Lutherans who have a slightly protestantized Byzantine Rite option. Some of their pastors and congregations are very inculturated, keeping their native three-bar cross, vestments, and icons; their Byzantine Rite is part of that. I have no idea if they're liberal high-church Lutherans like the Swedes or conservative like the Missouri Synod. The Missouri Synod has a mission in Russia, not byzantinized as far as I know.
That church in Russia dedicated to Met. Philip of Moscow is Russian Catholic; they're ex-Orthodox trying to express their belief that Catholicism is the fullness of Orthodoxy, which of course offends the Orthodox. Don't worry too much; the Catholic Church keeps quiet about such parishes, not trying to trick Russians to make them individually switch. When such people ask to convert, they're accepted, quietly.