The phrase "a movement to require" is correct and usable in written English.
It can be used when discussing initiatives or campaigns aimed at establishing a specific requirement or mandate.
Example: "There is a growing movement to require companies to disclose their carbon emissions."
Alternatives: "an initiative to mandate" or "a campaign to enforce".
Is there a movement to require fluoridation?
[The Guardian] Growing suspicions about the health effects of biotechnology foster a movement to require that food from genetically modified crops on American store shelves be labeled as such.
But as Americans ask more pointed questions about what they are eating, popular suspicions about the health and environmental effects of biotechnology are fueling a movement to require that food from genetically modified crops be labeled, if not eliminated.
There has been a movement to require job boards and employers to remove the "Have you ever been convicted of a crime?" box on employment applications.
To address citizens' lack of awareness, there is a growing movement to require high school students to learn, much like pupils learned a century ago, the basics of American civics.
There is a growing movement to require the validation of all cell lines used in sponsored research [ 3], and some journals and repositories have heeded the call [ 1, 2].
And an increasingly vocal movement to require any food with genetically engineered ingredients to carry a "G.M.O".
While the issue of whether a development agreement was required for the project was raised, there was never a notion or a behind the scenes movement to require one.
As any civil procedure student knows, Judge Clark's opinion disquieted the defense bar and gave rise to a movement to revise Rule 8 to require a plaintiff to plead a " 'cause of action.' " See 5 Wright & Miller §1201, at 86 87.
After 1901, a new law, part of a movement to improve conditions in tenements, required a toilet for every two apartments.
Mr. Timmendequas was convicted of killing a 7-year-old girl in Hamilton Township in a crime that triggered a movement to enact Megan's Laws, requiring police to track sex offenders.
