Something is wrong, but I don't think it is in Avast, since Windows Defender is also not being recognized, according to your first post.
Anything you can see in the Action Center to apply or correct? Maybe in some side panel?
In Avast, can you confirm that Avast's shields are "on"?
Do you have now any additional security tool? Did you have any other security tool in the past?
Residual files/processes/services of other AV tools may be interfering with the Action Center. Use their respective unistall utilities from
http://thewebatom.net/uninstallers/security-software/.
You could try a Clean Uninstall of Avast:
1_ Download the latest stable version of Avast.
2_ Download the Clean Uninstall Utility from
http://www.avast.com/uninstall-utility.
3_ Reboot into
Windows Safe Mode.
4_ Run the Clean Uninstall Utility.
5_ Reboot into Windows Normal Mode.
6_ Install Avast using the just downloaded latest stable version.
7_
Reboot once again.
8_ Check the Action Center Status.
9_ Report Back.