
The 29-year-old was pictured climbing a barrier to confront fans, but no complaint was made to either local police or the Football Association.
"Jamie went to sign autographs for youngsters in the executive boxes," said a Liverpool spokesman.
"Unfortunately, he was subjected to a tirade of foul-mouthed abuse and also had beer thrown at him."
Luton confirmed their safety officer is investigating the incident.
The tie finished 1-1, and the sides will meet again in the replay at Anfield next Tuesday.