The pair both scored within the opening 17 minutes before Steven Gerrard netted his 99th Premier League goal with a penalty before half-time.
Palace improved after the break and notched through Dwight Gayle and, while there was no danger of the visitors preventing the Reds returning to the top of the table, Rodgers felt there was plenty still to work on.
"The two boys up front are as good as any in the league, so you know you're always going to be in with a chance with them," he said.
"There are not many better at combining. You can see the link-up that they have already. It was a really good performance by those two.
"They give you a real thrust and a real edge. If we're away from home and sometimes under the cosh, we counter-attack because we've got that pace and people willing to join in. It can be a real threat.
"If teams sit off and drop in that bit deeper, those are guys that are really clever in and around the box and can get goals.
"They were outstanding. Those two occupy a back four on their own because of their movement and cleverness.
"When they get other players around them, they're a real threat. You saw the telepathic nature they have to play with each other.
"For the team, it really bodes well for us going forward."
- Sports & Recreation
- Dwight Gayle
- Steven Gerrard
- Premier League