"greatly criticized" is a correct and usable phrase in written English.
You can use it when you want to express that something has been subject to a lot of criticism. For example, "The new policy was greatly criticized by members of the public."
It has been widely used after the largest scale disasters but it has also been greatly criticized, mainly for being unsustainable and culturally inadequate.
This film has been greatly criticized for its deviation from the Biblical story.
Iran has greatly criticized the Sana'a government for what it qualifies as the persecution of the Shia al-Houthis.
The makeover of the Oval Office -- the inner sanctum of the American presidency -- has been greatly criticized, and with good reason.
Although commercially successful, Rise Against was greatly criticized by many long-term fans for producing an album that is a dramatic departure compared to Rise Against's previous fast-paced works.
(Interview with the Director of eHealth) "We were greatly criticized for training, they felt training was, was very poor".
Ford was criticized greatly for quickly switching from advocating a tax increase to a tax reduction.
Several historians said yesterday that Mr. Kerry's testimony could be legitimately criticized for greatly exaggerating the frequency of atrocities but that atrocities did occur.
Worse, many economists say, is that states and cities have special accounting rules that have been criticized for greatly understating pension costs.
These onerous qualifying criteria have greatly reduced the pool of candidates, and have been criticized as "technocratic rather than democratic".
The number and popularity of forensic science programs at the university level have greatly increased worldwide, though some new programs have been criticized for inadequately preparing their students for real forensic work.
