"will be questioned on" is correct and usable in written English.
You can use it when you need to express that someone will be asked further about a particular topic or subject. For example: The witness will be questioned on the events of the night in detail.
They were released but will be questioned on Thursday.
Mnuchin will be questioned on Trump's 2020 budget proposal.
Epstein will be questioned on allegations he procured sexual favours from minors for friends and forced to answer allegations that he abused up to 40 girls.
Chappell and the directors of Retail Acquisitions are scheduled to give evidence to MPs on 8 June, while Green will be questioned on 15 June.
Amongst the issues the country's representatives will be questioned on is how the revolution has failed to improve lives for women and how, in many cases, it has made it worse.
However, he is likely to come under greater pressure over his handling of the Newsnight affair in the couple of months after the Savile allegations were first aired by ITV, and in particular will be questioned on why he relied for so long on the account of events provided by Newsnight's editor Peter Rippon, an account that had to be corrected at least three times.
They'll be questioned on everything from Beethoven to Breaking Bad, Lady Macbeth to Lady Gaga.
Transport Secretary Patrick McLoughlin will be questioned by MPs on the Transport Select Committee later over storm damage to places like Dawlish.
Questions have been raised about Mr Flowers's appointment as chairman of the Co-op Bank in 2010, and banking regulators will be questioned by MPs on the issue.
There will be questions on the roles and responsibilities of conduits [Internet sites, for example] and what the responsibilities of those conduits should be.
But there will be questions on how such a commercial building without proper fire safety measures was allowed to operate all these years.
