Leicester City have reached their first FA Cup final since 1969 after beating Southampton.
Kelechi Iheanacho scored the game's only goal ten minutes after half-time, capitalising on tough work from Jamie Vardy before firing past Fraser Forster.
The Nigerian's goal means Leicester will play Chelsea in the final.
"That is what this game is about, creating a memory," said Rodgers, who is yet to win major silverware in English football, but won seven trophies in less than three years as manager of Celtic.
"I have been made aware since I've been at Leicester how important this cup is for the supporters.
"We have the chance to create history. When we arrived here, that was the ambition. From a football perspective we wanted to be able to compete and we have been able to do that. Now we have a trophy to genuinely go for."