The Belgium international won both player of the season and the players' player award at the club's annual presentations at the Royal Liverpool Philharmonic Hall.
Lukaku is the top flight's current leading scorer with 24 and surpassed Duncan Ferguson's club record for Premier League goals this season.
Manchester United 1 Everton 1 player ratings
Manchester United 1 Everton 1 player ratings
1/22 David de Gea – 4 out of 10
So often the saviour, could have done more to prevent Jagielka’s peculiar goal, like closing his legs for starters.
2/22 Ashley Young – 7 out of 10
Offered more offensively than most and tested Everton’s defence with several crosses, but his team-mates failed to make them count.
3/22 Marcos Rojo – 4 out of 10
A more assertive centre-half would have clattered Jagielka and won the header that lead to the goal. Too often, Rojo is not that centre-half.
4/22 Eric Bailly – 6 out of 10
Dealt with Lukaku in the brief moments he threatened United’s backline on a largely quiet night for the hosts’ defence.
5/22 Daley Blind – 5 out of 10
Ineffective going forward first half, hauled off for Paul Pogba at half-time.
6/22 Ander Herrera – 7 out of 10
One of United’s brighter sparks but even so, should have done better than hit the bar when latching onto the rebound of Blind’s first half free-kick.
7/22 Michael Carrick - 6 out of 10
Struggled to have an impact and often too conservative in his passing when United needed a fresh impetus.
8/22 Marouane Fellaini – 4 out of 10
The many United supporters who believe he simply should not be in this team had their arguments boosted. Offers little more than a target on set pieces and a mistimed tackle.
9/22 Jesse Lingard – 4 out of 10
Like Fellaini, a display to fuel his critics. Wasteful in the first-half, largely anonymous in the second.
10/22 Zlatan Ibrahimovic – 5 out of 10
Still misses far too many opportunities for a frontman of his quality. Could have got United off to a perfect start but fluffed his lines.
11/22 Marcus Rashford – 4 out of 10
A night where his relative inexperience showed. Has good grace and plenty of time on his side to improve, at least.
12/22 Joel Robles – 8 out of 10
Recovered from a shaky display in the Merseyside derby to impress. Best save came when acrobatically denying Blind from a free-kick.
13/22 Mason Holgate – 7 out of 10
Mature performance from the youngster. Poked a low cross away from Rashford’s toes to keep it 1-0 towards the end of the first half.
14/22 Phil Jagielka – 7 out of 10
A quite remarkable finish for his goal and coped well defensively, although aided by United’s lack of pace in forward positions.
15/22 Ashley Williams – 4 out of 10
It was all going so well until that late handball. The Wales international wins a lot of plaudits, but this was another mistake in a debut Everton season peppered with them.
16/22 Leighton Baines – 6 out of 10
Played his part in a solid defensive display, but would perhaps have had more problems if facing the rested Antonio Valencia.
17/22 Idrissa Gueye – 6 out of 10
Swept up and stifled United attacks alongside Barry, though Herrera had the better of him at times.
18/22 Gareth Barry – 8 out of 10
The key man in Everton’s backs-to-the-wall resistance, did not mind getting a little dirty. Will have enjoyed one ‘experienced’ challenge on Rashford.
19/22 Tom Davies – 7 out of 10
No doubt buoyed by his new contract, the youngster was much better than at Anfield. Showed movement and intelligence breaking into the final third.
20/22 Ross Barkley – 6 out of 10
Another player who improved from Anfield, but in Barkley’s case it was not hard. If you’re being harsh, showed little creativity, but battled well.
21/22 Kevin Mirallas – 6 out of 10
Brought more invention to the line-up having sat out the majority of the derby. He and Lukaku were not on the same wavelength at times, however.
22/22 Romelu Lukaku – 5 out of 10
At times guilty of not holding the ball up well enough and inviting pressure on his team, but his all-round display was an unselfish one for the cause.
But his future remains in doubt after he told officials in March he would not be signing the contract extension being offered by Everton.
To his credit he has not let that affect him with five goals in as many matches immediately following his revelation - although he has not scored in his last three - and part of that is down to Koeman's handling of the player.
"I'm very happy," Lukaku said in his speech accepting the two awards, according to the Liverpool Echo.
"I want to thank the manager for pushing me, even though sometimes I'm not always an easy guy. He's taken me to the next level.
"As a young guy I just try to learn every day and give my best. Sometimes there are ups and downs but it's always with the best intentions.
"I want to help my team-mates win and I have tried my best this season."
Koeman has always insisted he is calm about Lukaku's contract situation, despite increasing speculation about a return to Chelsea and reported interest from Manchester United, as the 23-year-old has two years remaining on his current deal.
Chairman Bill Kenwright remains hopeful of keeping the Belgian at the club for next season at least.
"I do hope we see many more goals from you, Rom," Kenwright said.
Academy graduate Tom Davies won three awards on the night: young player of the year, individual performance of the season and goal of the season.Reuse content