AviancaTaca, the new Star Alliance member based in South America, is to start using the Avianca name across all its subsidiaries early next year. They send me an announcement about this change in Spanish of course.
Conclusion
This is a welcomed change. It has been somewhat confusing with Avianca, Taca, LACSA and their other subsidiaries. They still have the former OceanAir in Brazil that was rebranded as Avianca Brazil that is not part of the Star Alliance.