I'm not sure about how the tournament eligibility rules work. However, if the rules restrict to Gen 6 games, then that includes X, Y, OR, and AS. All 4 games are part of Gen 6. As such, any Pokemon that originates from any of those 4 games will have the blue pentagon on their summary page.
As for your more specific question, regarding the offspring... The breeding is taking place in OR/AS, so the new Pokemon created will therefor be OR/AS Pokemon, regardless of their parentage.