Ayre is hoping that the two sets of fans do not let recent events sour the atmosphere during the match.
"It is the FA Cup, a great competition in English football and one we have a great history in and we want that to be what everyone focuses on," Ayre told BBC Readio Merseyside.
"We have massive rivalry with Manchester United but those who are respectful also have respect for them because they are a great footballing side and team and like us they have been very successful.
"We mustn't detract from fans chanting and singing at each other but it needs to be a rivalry thing rather than a hatred thing."
Liverpool booked their place in the Carling Cup final on Wednesday night with a 3-2 aggregate victory over Manchester City.