Why Automation Block - 'Reverse Order of Selected Layers' not working in shape layer (expression) ?

Could it be that the script gets confused by multiple layers having the same layer name? Does it work if your layers have a unique layer name (you could achieve that by writing an additional Automation Blocks script which adds a unique number (like counter) to the end of the name, for example).

I don't have Automation Blocks myself, but your interface doesn't look like the interface created by Mamoworld.  Could you be using another or older version?   

Have you tried the script on regular layers?  If it works with those, then maybe all those expressions are getting in the way.  If it doesn't work on regular solid layers it might be worth contacting the creator on AEScripts.  If it does work, then maybe try it again on a few basic shape layers.  If it doesn't work, then maybe it can't work with shapes, but if it does work, try disabling the expressions and running the script again.

Sorry, not much help, but the steps above should help narrow down the cause.