The change is a reverse of last week’s Liverpool team, when the Reds beat Manchester United 3-0 at Old Trafford. Prior to that, Coutinho had started ahead of Sterling in the 3-0 win at Southampton.
The Brazilian will play in a central role behind forwards Luis Suarez and Daniel Sturridge.
Daniel Agger and Martin Skrtel continue to be Rodgers’ first-choice central defensive partnership, despite the return of Mamadou Sakho from injury, whilst Joe Allen starts ahead of Lucas Leiva alongside captain Steven Gerrard in midfield.
Liverpool: Mignolet, Johnson, Flanagan, Agger, Skrtel, Gerrard, Allen, Henderson, Coutinho, Suarez, Sturridge.
Substitutes: Jones, Sakho, Cissokho, Lucas, Moses, Sterling, Aspas.
Cardiff: Marshall; Fabio, Theophile-Catherine, Caulker (C), Cala, John; Medel, Kim, Mutch; Bellamy, Campbell.
Substitutes: Lewis; Turner, Whittingham, Jones, Gunnarsson, Daehli, Zaha.
Cardiff City v Liverpool gets underway at 3pm and is not on TV in the UK. Match highlights are on BBC One’s Match of the Day from 10.30pm.