Which sentence sounds more natural to native speaker?

>We haven't move anything this should be "We haven't moved anything." >Everything hasn't been moved. no one would ever say it this way. >Nothing has been moved. yep, this sounds very natural. >But the teacher correct me with #3: Anything has not been moved. this is the worst one of all.

Your teacher is very, very wrong. “Anything has not been moved,” is not something any native speaker would ever say. I wouldn’t even be sure of what you meant if you said that. “Nothing has been moved,” is correct. “Everything hasn’t been moved,” isn’t a natural phrase. You could say, “Not everything has been moved,” but that wouldn’t actually mean the same thing. “Not everything” doesn’t usually mean nothing; it means some but not all.

Your teacher is so very wrong. "Nothing has been moved." is what a native speaker would likely say. "Everything hasn't been moved." has a different meaning - it means that some things may or may not have been moved, but some things definitely have not. It would be a very specific context to be used naturally. It would not be used for the situation you described. "Anything has not been moved." is just wrong and confusing.