The striker became Rodgers' first Reds signing after finalising a long-term deal from Roma to Anfield for a fee Press Association Sport understands is in the region of ?7.9million. Borini will be reunited with Rodgers, with whom he worked in the Chelsea youth set up, for a second time having spent a short spell on loan at Swansea in the 2010/11 season.
And Rodgers is confident the Italian can play a prominent role in the coming seasons for Liverpool. He told liverpoolfc.com: "Fabio fits the model of what we're trying to do in building not only for now, but also for the future."
He added: "He's a big talent, 21 years of age, he scores goals, and his passion, focus and concentration is a very important part of his game - and a big part of what you want from a player.
"I think the supporters will love him. He's a multi-functional player who can play in a number of positions and someone I believe has got great growth.
"I'd anticipate that over the next two or three years he'll really progress and I'm sure do very well for Liverpool.
"He is arguably the best physical player I've worked with in terms of his pace, power and fitness.
"Mentally, he's very strong. We've got a player who is on the up and someone who I think Liverpool will benefit from."
For his part, Borini is desperate to reward Rogers' faith in him by firing Liverpool back into the Champions League.
"I hope to achieve the maximum I can, by scoring goals, getting into the Champions League and all of the things the club also wants - and all the other players," he said. "It's a top club that has won a lot of trophies in the past - and will do so in the future we hope as well."