Lukaku scored one and assisted the other as Manchester United beat Chelsea 2-1 at Old Trafford yesterday.
It was the first time the Belgian had scored against a team inside the Premier League’s top eight this season.
Moreno was impressed with the hold-up play of Lukaku as well as his contributions to the scoreline.
But he says the 24-year-old must now put in that type of performance on a regular basis against the big sides.
“Let’s recognise what he did well today,” Moreno said on ESPN FC.
“It’s not only the goal, it’s not only the assist, it’s the fact he gave you hold-up play.
“There were moments in which he needed to hold the ball up and allow people to join in the attack, he did that.
“We saw him in a long run late in the game where there was an opportunity for him to stretch his legs.
“Now all of a sudden you see the engine going, you see the legs going. You say ‘okay big guy, go on big fella’.
“That allows Manchester United to get their lines forward.
“There was a lot from Romelu Lukaku today which was a big-boy performance and that is something that I think Manchester United fans will want to see with more consistency.
“But today and based on today alone, that was good from Romelu Lukaku.”