Anyone with information is asked to call the department's tip line at 502-574-LMPD (5673).
Scott, her daughter and activist Shamika Parrish-Wright claim officers violated their constitutional rights and inflicted "severe emotional distress."
The alleged incident took place just three days after protests for Breonna Taylor, a Black woman shot and killed in March 2020 by white LMPD officers in her home, broke out in downtown Louisville.
LMPD's Homicide Unit is investigating.
The shooting happened Wednesday night on South 24th Street.
Police said no suspects were in custody in connection to the double shooting as of Tuesday night.
LMPD's Homicide Unit is investigating due to the severity of the teen's injuries, a police spokesman said in a statement.
Alesia Walker, 15, and Alexis Walker, 14, went missing from the amusement park on Saturday afternoon.
Authorities had no further information about a specific location as of 10:30 a.m. Saturday.
Shots were fired Friday afternoon during a foot chase in the California neighborhood.