Rodgers had praise for Emre Can, who began the match as one of three centre-backs but, not for the first time in recent weeks, moved into midfield late in the second half.
The Germany Under-21 international had a tough start to his first season in the Premier League but since coming into the team on Boxing Day, coincidentally at Burnley, has been nothing short of superb.
“I look at him and I think if you give him another couple of years he could play in any team in world football – that is how highly I rate him,” added the Reds boss.
“Whether he is central or wide you can see his football intelligence, he breaks through lines with his power and pace and he has great composure.
“The crowd love him because he does the dirty work as well. I really think he will develop into a real world-class player.”