The phrase "published a report" is correct and usable in written English.
You could use it in a sentence like this: "The government recently published a report on the economic impact of the pandemic."
She published a report from Labour's universal credit rescue committee.
The Internet portal NetEase published a report of the meeting.
The company has also published a report on how Google fights piracy to make its defence.
The authors also published a report this year in The Journal of the American Medical Association.
The Daily Beast just published a report about the resurgence of "papa".
Hay Group, the management consultants, published a report this year which broadly supports this.
The housing charity Shelter has published a report revealing a picture of homelessness in England.
In 2004, he published a report on 63 patients — 56 with cancer, the rest with osteoporosis.
BIS published a report this week explaining its sale of its remaining stake in Royal Mail.
His committee recently published a report calling for a parliamentary commission on the civil service.
In October it published a report condemning segregated education for asylum seekers.
