The phrase "a false account of" is correct and usable in written English.
It can be used when referring to a narrative or description that is not true or is misleading.
Example: "The article presented a false account of the events that transpired during the meeting."
Alternatives: "an inaccurate portrayal of" or "a misleading representation of".
Papadopoulos gave federal agents a false account of his meetings with Mifsud.
The US has succeeded in promoting a false account of the cause and conduct of its war.
All but one do as they're told and conspire to give a false account of the murder.
You conclude by saying "read something else", yet give a false account of our methods, analysis and conclusions.
Many philosophers deny that perception has intentionality, and even those who accept it tend to give a false account of the intentionality.
There was plenty of evidence, the court stated, to find that the three officers agreed to impede investigators by putting out a false account of what occurred.
Michael Flynn lost his job as national security adviser after just 24 days — less because he offered potentially illegal secret assurances to Russia's ambassador, an adversary of the United States, than because he gave a false accounting of those conversations to his colleagues in the White House, particularly Vice President Pence.
So "60 Minutes" knew that Davies had given this second account to his employer, and was under the impression that it was a false account to his superior because of orders not to visit the compound.
When the Daily Mail published online, briefly and accidentally, a false account it had prepared of the climax of the Amanda Knox appeal, it turned out that the reporter whose name appeared on the story was not involved in any way.
They argue that the article - also published across two pages of the paper in September last year - suggested Rowling had given "a knowingly false account of her time as a single mother in Edinburgh".
Two police officers who corroborated a seemingly false account of the fatal shooting of Samuel DuBose in Cincinnati were previously implicated in the death of an unarmed, hospitalised and mentally ill black man who died after he was "rushed" by a group of seven University of Cincinnati police officers.
