The Professional Game Match Officials Limited admitted the error following the Reds' 2-1 defeat to Tottenham on a disputed Luis Diaz first-half goal.
The Gunners start their season on 1 October at home to Liverpool
Tottenham 2-1 Liverpool: A last-minute Joel Matip own goal settled matters after two reds for the Reds
Barrow record their first win in four games with a 3-2 victory over Doncaster in League Two.
Luis Diaz was ruled to be onside when running through to put Liverpool ahead but the VAR team failed to communicate their decision to the on-field officials