NewbMacUser wrote:
... Is there an official Apple way to remove apps?
OS X Yosemite: Install, update, and uninstall apps
I'm not sure I understand what it is you intend to accomplish. Earlier, you wrote "I don't want to completely erase Evernote. I just want to remove it completely so I can re-install it again" which contradicts this latest question. Following the above instructions will completely erase Evernote from your Mac.
The reason your notes reappeared after uninstalling Evernote and subsequently reinstalling it again is that your Evernote notes are stored on Evernote's servers. They will remain there until you erase them from Evernote's servers, or Evernote deletes your account. I have no idea if they will do that so all you can do is contact them and ask.
If you don't like Evernote, Apple's Notes is a perfectly suitable equivalent, and it's free.