I'm using the official Evernote for Android app, and I just noticed when reviewing my Google Account history, that Evernote is notifying Google each time that I open a note on Android, including the note title and its URL.
You can see this in your own Google account by visiting this URL: https://myactivity.google.com/item?product=1&q=evernote (see attached image for an example)
While I realise that I have at some point explicitly opted in to Google's "Web & App Activity" feature (it's one of the things Google tries hard to get you to agree with when setting up an Android phone), and that this feature says it will "Save your search activity on apps and in browsers", I would not expect that my notes would be party to this. This isn't happening by accident — Evernote has explicitly built Android "app indexing" into their app to allow this to happen.
Of course, I can disable "Web & App Activity" on my Google Account, but I would not expect that Evernote would even try sending my sensitive note titles to Google APIs, unless I gave my explicit consent.