CLEVELAND — While acknowledging that he cannot appeal an acquittal, an Ohio prosecutor says a judge made serious errors before finding a Cleveland police officer not guilty in the deaths of two unarmed suspects, and he wants an appeals court to order the judge to correct the record.

The prosecutor, Timothy J. McGinty of Cuyahoga County, said in court documents that were posted Friday on The Plain Dealer website that Judge John O’Donnell’s reasoning in the voluntary-manslaughter trial of Officer Michael Brelo could set a legal precedent that would “endanger the public.”

Mr. McGinty said Officer Brelo’s acquittal on May 23 in the 2012 deaths of Malissa Williams and Timothy Russell in a storm of police bullets was based on the judge’s mistaken analysis of laws concerning police use of deadly force and on homicide involving more than one person who fired shots. He said the judge had also considered the wrong lesser charge — felonious assault — when he should have considered attempted voluntary manslaughter or aggravated assault.

“As it stands, the trial court’s verdict will endanger the public, allow for one of multiple actors to escape culpability and lead to more unnecessary deaths by police-created crossfire situations,” Mr. McGinty said in his filing with the appeals court.