The twin babies who died in a sweltering car in The Bronx last week were dressed all in white and laid out in side-by-side white caskets for their wake Friday, as their father sobbed, “I can’t believe it.”

Dozens of tearful mourners paid their respects to the family of 1-year-olds Luna and Phoenix — whose dad Juan Rodriguez is accused of recklessly killing by forgetting them in his Honda on July 26 while he went to work — at the Sinatra Memorial Home in Yonkers.

“Oh, my god. I love them so much. I can’t believe it,” Rodriguez, 39, wailed as he burst into tears in the lobby.

A friend hugged him and cried, “My heart is broken!”

In their tiny caskets, little Luna wore a white lace dress with a ribbon headband, and Phoenix was dressed in a white suit and a bonnet.

Pink and blue flowers, arranged into hearts, flanked the babies’ bodies, and a large photo showed the family during happier times.

Rodriguez, an Iraq war veteran from Rockland County, faces potential manslaughter charges after he allegedly forgot about the infants and went to work at a veterans hospital in Kingsbridge for eight hours. The twins were later found unconscious and foaming at the mouth in their car seats.

During the service, the twins’ devastated mother, Marissa, also wept but said little.

A grief-stricken family friend could be heard whispering, “No time will heal this.”