The Just Giving page was started two days ago and already more than £4,000 has been donated.
It was launched by Luke's parents - Brett Burton and Ann-Marie Taylor - in memory of their son.
The 23-year-old died after his motorbike was involved in a collision with a double decker bus in Stonepit Lane in Filey on Thursday July 16.
Luke loved spending time with his family and friends, especially at Filey Sports Club.
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His parents were initially aiming to raise £500 for the restoration of the club.
They said: "In Luke’s memory we are raising funds to help with the restoration of the sports club.
"We would like to be able to help with this so it can forever be a focal point of sharing memories of all the good times we have all spent with Luke."
To donate to the collection, visit https://www.justgiving.com/crowdfunding/lukebsportsclub