"If it was Arsenal you would be raving about the quality of the finishes, so why not do the same about us?
"They were outstanding goals, especially the ones from Stelios (Giannakopoulos)."
Kevin Davies opened the scoring with his first goal in 18 games - the other came in the draw against Aston Villa in the opening game.
The Bolton boss continued: "I am so pleased for Kevin. He had become ever more anxious about his scoring rate.
"This time around it was an unlikely one as the ball just popped up on his head and went over Richard Wright.
"It was a crucial goal and we have gone on to punish Everton severely.
"Once we weathered the storm and made the breakthrough the game changed.
"Everton had a lot of pressure without really threatening us.
"We rose to the challenge when they threw balls into our box, our defending and midfield units held firm.
"We have gone and picked them off. When they've tired, we have introduced some fresh players and destroyed them in the last 15 minutes."