You might want to read this thread:
https://www.aveoforum.com/forum/f82/...20/index2.html
You can use Dexron III, although it is not synthetic. It IS compatible with the newer (more expensive) synthetic types. I have an '09. I've been routinely draining and refilling the A/T every year with Dex III. That's 10 years. I've never had any problem with it.