According to the suit, Muflahi accuses authorities of illegally taking him into custody and confiscating his entire security system without a warrant.
When asked about the lawsuit by CNN, Cpl. L’Jean McKneely said police would not comment on pending litigation, as is standard procedure.
The state is investigating the controversial death of Sterling, a black man who was fatally shot after he was pinned down by two Baton Rouge police officers.
The U.S. Department of Justice is leading a criminal investigation, Louisiana Gov. John Bel Edwards said. The FBI and state police also will be involved, and a federal civil rights investigation will be conducted..