Juan Rodriguez, 39, of New City, who last appeared in court in September, is charged with leaving the twins in a hot car while he was at work.
His case was adjourned to April 2 as the District Attorney's office decides whether to seek an indictment from a grand jury.
His attorney, Joey Jackson, said on the courthouse steps that his client "wants this case done," but understands that the district attorney is "Continuing to evaluate evidence and information."
From the beginning, Jackson has urged prosecutors to drop the charges, saying the twins' deaths were a tragic accident.
The twins, Luna and Phoenix, were found dead on Friday, July 26, 2019, by Rodriguez after he got off work at the James J. Peters VA Hospital in the Kingsbridge section of the Bronx, and was driving home.
When he noticed the twins in the backseat of the vehicle, he got out along the highway and stood screaming.
“I blanked out,” he reportedly told police officers when they arrived. “I killed my babies!”
Temperatures hit the mid to upper 80s the day the babies were left in the car.
Rodriguez faces charges of manslaughter, criminally negligent homicide and endangering the welfare of a child.
Click here to follow Daily Voice Bronxville and receive free news updates.