The bar is not green, just the text in the bar.
My extensions page shows both forms together.
The green "Apple Inc" is the owner of that page. Technically there's more to it than that, I suppose.
There's some difference between your settings, and your wife's - maybe an odd extension that you have installed, but not your wife. (or vice versa)
What extensions do you have actually installed that would be different from your wife's?
The extensions page that you posted really doesn't tell you, but you can go to your Safari/Preferences, then click on the Extensions tab to see a list of all your installed extensions, where you can see which installed extensions are actually active (or just installed but not active) You can also check to make sure that all are up-to-date. If you have just updated your Safari, or have just updated to El Capitan, updates to extensions may be something that you have missed. 😀