The phrase "as acknowledged under" is correct and usable in written English.
It can be used when referencing a specific acknowledgment or agreement made in a document or context.
Example: "The terms of the contract, as acknowledged under section 5, must be adhered to by all parties involved."
Alternatives: "as recognized in" or "as stated in".
At the hearing, Stumpf said that he was "deeply sorry" for what had happened, even as he later acknowledged under Warren's insistent questioning that no senior executives had been fired.
Mr. Roeder acknowledged under cross-examination that he had, as early as 1993, thought about killing Dr. Tiller.
But Mr. Janiszewski acknowledged under questioning by Judge Joel A. Pisano that there had been other instances of extortion as well.
The deerstalker as acknowledged prop.
For many wine lovers, the news that Robert M. Parker Jr. is planning to sell a portion of his influential newsletter, The Wine Advocate, to a group of Asian investors and step down as editor in chief does not so much signal an end of an era as acknowledges changes that have been under way for a decade.
Foreign involvement has often proved better for donors than the recipients, as Bill Clinton acknowledged of policies under his presidency that wiped out Haitian rice farming.
Today Yuri Maslyukov, a Communist who was given responsibility for economic policy under Mr. Primakov, acknowledged as much.
As Corinthian acknowledged, it is now under active investigation by a slew of federal and state law enforcement agencies.
President Trump defended his move to halt federal health insurance payments for millions of low-income Americans, even as he acknowledged rising costs faced under the Affordable Care Act.
Yoo says it is his understanding that no policies or interrogation techniques changed as a result of the withdrawal of the torture memo, noting that all policies that were legal under the withdrawn opinions are also acknowledged as legal under the opinion that eventually replaced the withdrawn ones.
