The issue is that the feature is not enabled that allows the layouts.
To fix the issue go to Site Actions -> Site Settings in the upper right corner.
Under "Site Collection Administration" click on "Site Collection Features".
Look for "SharePoint Server Publishing Infrastructure" and activate it. It might take a moment to load.
Next return to "Site Settings" and click on "Manage Site Features"
Look for "SharePoint Server Publishing" and activate it. It might take a moment to load.
To fix the issue go to Site Actions -> Site Settings in the upper right corner.
Under "Site Collection Administration" click on "Site Collection Features".
Look for "SharePoint Server Publishing Infrastructure" and activate it. It might take a moment to load.
Next return to "Site Settings" and click on "Manage Site Features"
Look for "SharePoint Server Publishing" and activate it. It might take a moment to load.