Juan Mata once again proved Chelsea's inspiration, the £23million man starting the move that saw Daniel Sturridge break the deadlock and also laying on the third goal for Ramires either side of a John Terry header.
Villas-Boas refused to single out Mata for special praise, saying: "It's all interrelated with his colleagues.
"The talent in this squad is so immense and the technical staff's job is just to free the players.
"When they play with freedom of choice, they can express themselves a little bit better."
Instead, Villas-Boas hailed the patience of his entire team.
"We managed to be very, very patient in our build-up, playing a lot from the back, tiring the strikers of Everton a little bit," he said. "When Everton got the ball, they couldn't respond with the usual aggressiveness that they have.
"It was decisive to get the second goal just before half-time.
"The 3-0 gave us the comfort we needed to take the game through."