A Brooklyn judge yesterday threw the book at two men convicted of savagely beating an Ecuadorian immigrant to death with a baseball bat after mistaking him and his brother for a gay couple.

Keith Phoenix, 30, was convicted of murder as a hate crime in the December 2008 death of José Sucuzhanay and sentenced to 37 years to life in prison.

Hakim Scott, 27, Phoenix’s cohort, was convicted of manslaughter and got 37 years.

Judge Patricia DiMango said Phoenix and Scott “gratuitously” and in a “cold-hearted, cruel and wanton fashion swung an aluminum bat at [Sucuzhanay’s] head over and over and over again” during the street attack in Bushwick.

Sucuzhanay’s brother Romel, who was also beaten, told the court that “ever since that day my life has changed, my future’s in pieces.”

Their mom, Julia Quintuna, wept as she said, “My son’s life is finished. He left two small children as orphans.”