Burt and Craig Hodges were replaced by Justin Holbrook as head coach just before 2020 NRL season commenced.

A goal-kicking winger and occasional fullback, he played his entire career for the Parramatta Eels in the National Rugby League.

[4] In the 2000 NRL season, Parramatta again made the preliminary final but were defeated by eventual premiers the Brisbane Broncos 16–10 with Burt scoring a try during the game.

Burt played on the wing for Parramatta in their shock 2001 NRL grand final loss to the Newcastle Knights at Stadium Australia.

In 2007 Burt continued his great form at fullback and was particularly impressive with his goalkicking, kicking at just under 90% success rates for the season.

[15] In November 2017, Burt joined The Gold Coast Titans to become assistant coach alongside Garth Brennan.

[21] The Gold Coast were officially handed the wooden spoon the following week as they lost 24–8 against Melbourne at AAMI Park.

Luke bagged a double including one disallowed try along with scoring 8 goals from 8 attempts which concluded his best performance of the year.

After some great form in early 2010, Burt was selected to play for the Country Origin side where he scored a try and kicked 6 goals from 6 attempts.

In the same season, he became the third player to score 100 tries and 500 goals[citation needed] (after Ryan Girdler and Hazem El Masri) In 2011, playing against the Cowboys at Parramatta Stadium, Burt equalled then passed Brett Kenny's all time try scoring record for Parramatta (110) with 2 tries, the second try coming with 2 minutes remaining on the clock set up a kick from the touchline to win the match.