Trailing 1-0 at halftime, Villa won 2-1 thanks to a brace from Rogers.
"With Rogers today it was a case of just a real high-quality player with two brilliant moments that have turned the game on its head," Murphy told BBC Sport.
"When you break the game down to important moments, the first finish was just incredible, on his weak foot, a little flick.
"And with the free-kick, the bravery and courage of someone who is completely confident and comfortable in himself, someone who plays for England and who has now established himself as a high-level Premier League player.
"Would Leeds have won the game if they had the quality of Morgan Rogers? There's an argument to say yes - but the players in the final third at this level are what make the difference, and we saw it again today.
"And one of the great things about Morgan Rogers is that he's not necessarily a 10, or a player who comes off the left or off the right, because he can do it all, because he is so athletic and powerful."