Neither works because they mean that all levels made the same suggestion for a new program. I think this is what you intend: A new program has been suggested for all levels of management .
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AnonymousA new program has been suggested by all levels of management.Then that is the right choice.
AnonymousI don't want it to sound like all managers at all levels are making the suggestion,It doesn't. It merely indicates that the suggestions came from that quarter.
AnonymousThat brings me back