First off, Cuomo is terrible. People are right to point to the nursing home problems, but there's even more. Stuff like setting up an "anti-corruption" commission to attack his political foes, then hastily shutting it down when it started investigating him. Many of his close aides being arrested for straight up corruption, etc. He's been flagrantly bad for a long time. (Look up the Moreland commission)

That said, a communications manager is strongly, hilariously, obviously not a "facebook executive". For one thing, it's an IC position. CM's don't manage people, they "manage" a message. (Source: I worked at FB)

Please don't let yourself get baited by the literal tabloid that is the Murdoch post.