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I believe a solution to this issue can be derived from that other one: 

That thread is about how to access a single installation of EN from different Windows User accounts (standard or admin).

I just bumped into the same problem, here is how I solved it using a somewhat simpler procedure, that does not involve moving the database around :

1/ log in my Standard User account, uninstall EN

2/ log in my Admin account, install EN, sync the database

3/ locate the executable (for me it was in "\Program Files (x86)\Evernote\Evernote\Evernote.exe")

4/ create a shortcut to the executable, place the shortcut in the Public Desktop folder, which will make it accessible from any user's desktop

5/ enable the shortcut to "run as administrator" (tick the box in shortcut advanced properties) 

6/ log in my Standard User account, click on this new shortcut : Voilà ! 

Hope this helps.

PS : this was inspired from the following post:

https://superuser.com/questions/855360/how-to-install-program-to-all-user-accounts-in-windows