What avast version are you using ?
Avast 12.3.2280 is the latest and that may reflect if your Avast Browser Add-on is signed or not.
I see you didn't look at the screenshots.
So, lets go through it again.
Computer Formatted.
Brand new install of Windows 7.
Firefox 50 installed from the latest installer from Firefox.com
Latest version of Avast downloaded from avast.com and installed.
Avast confirms it's up to date.Firefox confirms that there's no addon updates available, and that they are all running the latest version.
Firefox also confirms that the addon was last updated Today, 25th, November, 2016.
Addon does not work. says it's not verified and has been disabled.
All programs are up to date.
Since that computer last night, i have checked all my other ones,
including ones running Avast Business. ALL OF THEM SHOW THE ADDON IS DISABLED. and all show many different versions of the update, from 10.* through to 12.3.*
If there is an update to the addon that is signed, then Avast update itself is Not Installing it, nor is it updating it.