"cast into question" is a correct and usable phrase in written English.
You can use it when you want to express doubt or uncertainty about something. For example: "Her motives in this matter have been cast into question."
There is also Idzik's input in the selection of the starting quarterback, which has cast into question Ryan's voice when it comes to on-field matters.
In the process, voters cast into question the ability of any party to form a government soon, let alone continue with the austerity program.
It cast into question his conviction as Koenig looked into police reports, interviewed witnesses and posited theories about the murder of the Baltimore high-school student who was strangled in 1999.
"The judge has in effect cast into question the legality of standard corporate procedures such as preparations for an I.P.O., and buyback and cancellation of a company's own shares," said Sergei Kopytov, a spokesman for Sistema.
India has proved it can hold clean auctions: a 3G one in 2010 was widely praised.By insisting that an auction is the only fair way to allocate spectrum, the Supreme Court has cast into question other licences granted before 2009 by different means, including those of Reliance Communications and the Tata group, two giant firms.
However, delays to the $5.25 a share tender, in addition to a puzzling set of transactions and financial disclosures, have cast into question Sillerman's ability to complete the buyout.
Of course, a similar result may not appear – casting into question the validity of the results from the first experiment.
But it's not so easy to ignore a general lack of chemistry that calls Mr. Rickman's casting decisions into question.
Here, Maimon argues, the quid juris of the deduction — the question about the legitimate use of the categories — can likewise be cast into doubt.
The presence of 都 to 1 in 35 as a yes-no question casts into doubt the very proposition that men have periods, a totally impossible situation.
