Re: My Google Tasks don't seem to update
I just tried the built in app, and it syncs for me when I swipe down, but it doesn't do it right... I t brought down completed tasks as incomplete.
I assume you have the tasks app pointed to your google account as yur primary...
If you wanty to consider alternatives, there are dozens of them available. I have been using Business Tasks (may require Business Calendar) for my tasks, and I am happy with it.