Before tiring in the second half, Coutinho's energy, movement and quality showed Liverpool fans there are reasons to believe in Rodgers' vision of a bright future.
The Liverpool boss said: "He was brought in because of his talent and humility. He is a young player with big experience and he is on the wavelength of the top players.
"He has fitted seamlessly into the scene because he is a wonderful technician and tactically very good. He is still not up to speed yet but you can see where he slots in.
"He is a player who can make the difference. He is clever with his passing and can make and score goals. You saw the pass for Luis' second goal was fantastic."