https://theamazonpost.com/wp-content/uploads/2016/08/CA2-Opi...
Notably, their appeal didn't even challenge the factual findings of the lower court with regards to their own corruption. So, there isn't even any real dispute about that. They did obtain the verdict corruptly, what they attempted to challenge was the legal authority of the lower court to overturn the Ecuadorian decision, and the appellate court rejected that.
I'm no legal expert, but I'm pretty sure it's a bad sign when your attorney doesn't want documents disclosed to the court because "the effects are potentially devastating in Ecuador (apart from destroying the proceeding, all of us, your attorneys, might go to jail)"... and then that e-mail gets obtained by the court.