Former deputy Jason Meade shot and killed the 23-year-old in December 2020.
Last month, a grand jury indicted Meade on two counts of murder and one count of reckless homicide.
Goodson’s family announced a federal civil lawsuit against the sheriff’s office, which is represented by the prosecutor’s office, and Meade.
The motion asks for the civil trial to take place following a decision in the criminal case.
Goodson’s family wants to move forward with the civil trial now in the event of a delay with the criminal case.
There is no word on when a decision in the motion will be made.