She treated her children like “animals” — savagely beating one to death with a broomstick in 2008 — and now a deranged Brooklyn mother will be the one who is caged.

Florencia Vasquez, who earlier this month pled guilty to killing her 11-year-old daughter Alejandra, was slammed with a 16-year-to-life sentence in Brooklyn Supreme Court today.

Brooklyn Supreme Court Justice Neil Firetog also slapped her with a concurrent seven-year sentence for assault.

The 38-year-old woman stood motionless as another daughter described her as cruel and unloving.

“Lock my mother up for life,” Imelda Vasquez, 15, asked the court through a translator.

“She treated us like animals,” the translator read from a letter written by Imelda, who stood next to her in the courtroom.

“She brought us here with lies, and told us we’d have a better future here,” wrote the teen, who — like her murdered sibling — hails from Mexico. “They were all lies.”

“I will never forgive her,” wrote Imelda, who was placed in foster care in January 2008 after Vasquez yanked out a clump of her hair. “She did a lot of harm to us.”

Vasquez attacked Alejandra with a broomstick Oct. 23, 2008 inside their East New York apartment, hitting the defenseless youngster so hard the handle broke in half.

The woman told cops she offered no assistance as her daughter lay in bed dying — vomiting and not eating.

Alejandra was discovered the morning of Oct. 26 by the woman’s boyfriend, Andres Pavon-Balderas.

The Medical Examiner’s Office found blunt-force trauma to the little girl’s head, torso and extremities, and ruled her death the result of acute child abuse.

The woman had initially told investigators Alejandra’s fatal wounds happened when she slipped while attaching a shower rod.

Outside the courtroom, her attorney said she could never explain why she beat her daughter to death.

Andrew Friedman did say his client was contrite.

“She’s sorry for what she did,” said Friedman. “She cries often and she’s sorry for what she did.”

For his role in the tragedy, Vasquez’s former boyfriend, Pavon-Balderas, 30, pled guilty Aug. 13 to criminally negligent homicide. He is being held without bail and awaits sentencing.

Officials said he would be deported to Mexico after he completes whatever sentence he is given.