Coutinho helped set up two goals at St James' Park and produced an outstanding performance for the Reds.
Rodgers is delighted with the 20-year-old's progress at Anfield since he arrived from Inter Milan in January.
"We build up players in the country and put them on a pedestal and then quickly nail them down," Rodgers said.
"He's had an outstanding performance and people can see why we brought him in. He's 20 years of age and fits the culture of what we're trying to do here.
"He's technically strong and he's a very humble boy. He works hard, you can see the effort in his game, the pressure, the intensity, so he fits in really well, but there's a long way to go.
"If you look at the stats you'll see I haven't eased him in gently. He's played nearly every game."