Trailing 1-0 early in the second half, the Toffees piled on three goals in six minutes to turn the match around.
Townsend set up Michael Keane for the equalizer, before unleashing a stunning shot from distance to put Everton up.
Fellow winger Demarai Gray rounded out the scoring on the break in the 66th minute.
“Both Demarai Gray and Andros Townsend have quality and are good pros. They are keen to learn, even Andros at his age,” Benitez said.
The main thing in this team, everyone said we needed wingers. Today, Richarlison did a great job also and the two wingers helped the striker do better.
When I decided Andros could be an important player for us, I was convinced. He is a professional and keen to learn and we have a group of players who want to improve.”
Everton were without Dominic Calvert-Lewin on Monday with the forward, who had scored in all three league games, succumbing to a quad injury.
“It could be longer, he broke his toe, then was playing with an injection, with pain, it was not easy for him, he was not training with the rest of the team and that is the reason, I think, why he had the problem,” Benitez said.
For me, it will be longer than two or three weeks.”
Everton are up to fourth with 10 points from four games, remaining one of five sides who are unbeaten this season.