Refresh Mail Counter

It appears the main X-Notifier has completely stopped working, so I looked into Neo. For the most part it *does* work (and does what I need) - however, the one thing I'd like to change (to make it similar to X-Notifier) is this:

 

When I visit the mail site (Gmail, etc.) the "counter" refreshes back to 0. I don't need to know that there are unread messages in my mailbox (I do that intentionally); I just need to know when there are NEW messages. How do I do that?