He told theDaily Mail he shot his stepdad in the head as he slept before getting sexually excited. He then violated his stepdad's corpse.
Acosta's mother, who allegedly forced him to have threesomes with her lovers as a young boy, walked in on the act, the Daily Mail reported.
Acosta then shot his mother.
He later cooked his father's flesh and ate it, saying "it tasted like pork, a tad salty but delicious," the Daily Mail reported.
Acosta showed no sign of remorse, saying his mother "was a whore and a drunkard, I did justice my way."
According to the brother of the slain father, the deceased Klein used to harass Acosta for not having a job and not bringing money into the home.
The murders were discovered when a family member could not get into the house and rang the police.
Acosta's lawyer said the murder had been planned for some time, the Daily Mail reported.
Klein claims she only helped him "clean up" after the killings.