Newcastle had taken the lead late on in the first-half through a Yohan Cabaye strike, but Liverpool claimed a point through Luis Suarez's superb finish.
The draw means that Liverpool have only one home win to their name in the league this season, but Rodgers was anything but downbeat.
"I thought we were outstanding, I have to say, our intensity and possession was relentless in the game," he told Sky Sports.
"We went to sleep just before half-time but for every other moment of the game I thought we were brilliant, and we deserved three points but we could just not put away any of the chances we had."
Despite going into the interval behind, Rodgers says he and his team never panicked.
"I just said stay calm, sometimes when you dominant the game like we did and concede, it can be easy to play desperation football and chase the goal but I thought it was important (to keep) playing as we were playing as we opened them up enough times," he continued.
"In fairness to them they defended well but they had to, but I thought second-half like the first, our pressing, our pressure, our possession was good and fast and we could just not finish off the many of the chances that would allow us to win the game and that is our fifth draw in ten games.
"But as we go forward and once we improve the group we will certainly turn draws into wins and with that type of football we will create chances."
Despite Liverpool's results being far from ideal this term, Rodgers insists they are a team 'moving forward'.
"I believe we are a team moving, moving forward and as you have seen from the performance today it was absolutely outstanding and once we improve the group over the course of the coming months hopefully that will kick us on again and we can turn these draws into wins," he said.
"As long as we keep playing our performance level is important. That we control games and dominate the ball with the young players we have, we clearly have a great future going forward."
Rodgers also found time to hail star striker Luis Suarez.
"He has been fantastic, I think most people in football know he is a real threat. Everyone knows he is quality and a fantastic guy and his work rate and intensity is phenomenal."