I haven't found the answer in terms of the dead, but we certainly pray for the living non-Orthodox. A classic example is the prayer for the Sovereign during the Divine Liturgy, which in view of its place therein must surely be approved by the Church even thought she be not Orthodox.
My personal thoughts about the dead centre around the rightness to pray for them at all. Since we are in no position to judge what is in their minds and must leave it to God, it seems to me that we are justified in asking God to extend His love and mercy to all the departed irrespective of their religious allegiance. If this is left to personal prayer, and not included in the Liturgy, it would appear that the Church at least grants tacit acceptance of any prayers we may offer for such dead persons.
With love and prayers,