I came across some info that said the Ministry did not report the death of Alastor Moody during the battle of the seven Potters because Rufus Scrimgeour did not want to admit the truth about Voldemort's power, or the recent Azkaban breakout.
But I'm thinking that Mad-eye was a bigger than life wizard and people may have noticed his sudden disappearance so I'm thinking that as one more layer of obfuscation the Ministry might have released something like a Missing person poster for Mad-eye to keep the cover-up going a little longer.
Here's a shot of my WIP for that poster.
bfd