The phrase "acknowledged reduction" is correct and usable in written English.
It can be used in contexts where you want to indicate that a decrease or diminishment has been recognized or accepted.
Example: "The report included an acknowledged reduction in the budget for the upcoming fiscal year."
Alternatives: "recognized decrease" or "accepted reduction".
He did it under pressure from Mr. Giuliani, who never acknowledged the reduction and eventually hounded Mr. Cortines out of office.
Prime Minister Manmohan Singh acknowledged the reduction in business ties.
They acknowledged the reduction in oral antibiotic treatment for their patients as a success for their unit and an improvement of the patients' quality of life.
Whereas accounts of theory reduction have to acknowledge that reduction in their sense has not yet been achieved and must appeal to the "in principle" possibility of reduction, accounts of explanatory reduction comport well with the piecemeal nature of actual scientific research.
The administration also said it had no way to measure that impact precisely, though it acknowledged the reductions could fall particularly hard on "those in low-income areas where there are high concentrations of Medicaid beneficiaries".
Although the White House has firmly stuck by the withdrawal date, senior administration officials have acknowledged that reductions of coalition forces will probably be limited to those areas of the country where insurgents are already scarce.
This infant chain of effects shares similarities with a number of infant studies, as well as concordance with adult studies, if the early effects are acknowledged as reductions in the amplitude of the underlying waveform in response to unexpected word forms.
It comprehensively fails to acknowledge harm reduction and regulatory innovations – many of them successful – taking place around the world.
The claims of difficulties by the Kashmiri militants fit into recent assurances by President Pervez Musharraf of Pakistan and statements from Indian leaders, who acknowledge a reduction in the number of guerrillas coming across the border.
