First off, loving version 2 for Android, It looks great.
I like that Evernote is keeping with some of the Android conventions, like revealing the navigation or app menu items to the left by swiping the screen over. Some of my other favorite apps, like Rdio and Pocketcasts are doing this, and it's a very natural and consistent way to get to the options and app selections. And Evernote Food is continuing with this design element, which is nice. The only difference, it seems, is that Food requires you to make the swipe from the very left edge of the screen.
Now, I'm mostly using a Nexus 7 that has a slipover leather(ish) case. This creates a raised border around the screen. So when you swipe in from an edge, you kind of have to push your finger into the crease between the screen and the leather border so that the device recognizes that you are swiping in from the edge. I often have to redo swipes that don't get picked up.
The solution to this would be to make the area that you can touch to swipe the screen over larger. Really, I don't think there should be any limited target area. If I touch the center of the screen, and swipe to the right, that should reveal the left pane. But you really need to start all the way over at the edge with Food. The main Evernote app doesn't seem to require that, and the other apps I mentioned don't either. A swipe over works wherever you start, and it doesn't cause any issues.
So that's a simple thing that I'd love to see improved.