Speaking to Sky Sports, Lukaku added, "It's another goal really, but we're really happy with the win and that we stay top of the league".
It was Rooney's first game back at his old stomping ground following his return to Everton in the off season.
Despite the expensive additions to the team, Everton have gotten off to a very rough start as they're now 18th in the Premie League table, having taken just four points from their first five matches.
However, despite the scoreline, Koeman insisted he felt there were signs of improvements and the result could have been much different if either Wayne Rooney or Gylfi Sigurdsson took the chances that came their way. "It's hard to say because it's 4-0 but we did not deserve this result".
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The former England captain, the day before appearing in court on a drink driving charge, impressed but was unable to drag the Toffees back into the game.
Chelsea's run of five straight home league wins over Arsenal also ended by the draw, which left the Blues three points behind the Manchester club's. If you don't like that pressure, please stop - that counts for the players and the manager.
"I read the United programme and my colleague told me about Everton spending £140m and so they need to go for the top four", said Koeman.
The Iceland global, who felt the 4-0 scoreline flattered United at the weekend, claim there are too many good players in the Everton squad for their poor run to continue and expects it to end shortly.
The Reds did win the EFL Cup and the Europa League, thus qualifying for this season's Champions League group stage.
With Juan Mata and Henrikh Mkhitaryan on the pitch, United had enough creativity at their disposal.