"questioned again" is correct and usable in written English.
You can use it when someone is asking the same questions multiple times. For example, "He was questioned again by the police about the robbery."
D'Amato's ethics have been questioned again and again.
Trump questioned again: "They can't do something else?
He will be questioned again, Mr Maillaud said.
He was questioned again a year later on suspicion of assault, but no charges were pressed.
When questioned again about such a curious strategy, they conceded it was to prevent defection.
An additional 28 jurors were questioned, again behind closed doors, during a court session yesterday.
(He will be questioned again tomorrow about the phone-hacking scandal).
Really, it's interesting and extraordinary that it's all being questioned again.
Those in custody in connection with the church bombings may be questioned again, along with others who were never charged.
Roger and Pauline would like Fourniret and Olivier to be questioned again, with a British police officer involved this time.
Questioned again on the BBC last Friday on what he had meant, Mr. Hunt declined to give any details.
