Police Maj. Gen. Ney Aldrin Bautista Almonte said the alleged coordinator of the attack was offered 400,000 Dominican pesos, or about $7,800, to carry out the shooting.
López said the 43-year-old athlete's liver was also damaged in Sunday night's shooting.
Ortiz, meanwhile, is still recovering in a Boston hospital.
The Dominican Republic is one of the world's most risky countries. A sixth suspect, identified as Luis Alfredo Rivas Clases, remained at large Wednesday.
The Boston Red Sox hit the road for a six-game road trip after the conclusion of Thursday night's game against the Texas Rangers, and Alex Cora is hoping to visit David Ortiz before they take off. His condition is guarded and he will remain in the ICU for the coming days, but he is making good progress towards recovery.
Among the suspects in custody is the alleged shooter, identified by authorities as Rolfy Ferreyra, aka Sandy.
Security camera footage showed that the attempt to kill Ortiz was carried out by two men on a motorcycle-Acosta and Eddy Feliz Garcia, the first man arrested in connection with the shooting-and two other groups of people in cars.
Tiffany Ortiz asked for privacy "while David continues to heal".
The details were contained in a court document obtained by the Associated Press on Wednesday.
The three-time World Series champion was shot in the Dominican Republic on Sunday and remains in an intensive care unit at Massachusetts General Hospital.
The Dominican newspaper Diario Libre reported on Wednesday that Mirabal Acosta has been connected with a gang of drug dealers and assassins in Santo Domingo Este.