The crime was allegedly committed in Mr Baird's home in inner-city Paddington.Â
The 28-year-old was sacked from the NSW Police Force after the then-senior constable was arrested and charged with both men's murders.
He remains in custody.
Lamarre-Condon's lawyer John Walford appeared in Sydney's Downing Centre Local Court on Tuesday.
He told Deputy Chief Magistrate Sharon Freund that his client had only received a partial brief of evidence from police.
Ms Freund adjourned the case for eight weeks, as requested by police prosecutors.
The case will return to court on June 18.
Luke Davies (left) and Jessie Baird were allegedly murdered with Lamarre-Condon's police gun. (HANDOUT/NSW POLICE, STUDIO 10)
Outside court, Mr Walford did not say whether his client would plead guilty or not guilty to the charges.
But he said Lamarre-Condon was alright, given the circumstances.
"It's a bit tough for him at the moment," he told reporters.
Tuesday's developments come after Mr Davies was remembered at a memorial service in Brisbane on Sunday. Mr Baird was farewelled at a funeral in Melbourne in March.
Those who knew the couple spoke fondly of them, wanting them remembered as they lived rather than for their tragic ends.
Luke Davies was remembered at a memorial service on Sunday in Brisbane. (Darren England/AAP PHOTOS)
Police have alleged Lamarre-Condon's February 19 attack was premeditated after a months-long campaign of "predatory behaviour" targeting Mr Baird, whom he briefly dated.
The couple's bodies were found on February 27 inside surfboard bags at the fence line of a rural property in Bungonia near Goulburn, about 200km southwest of Sydney.
Lamarre-Condon joined the force in 2019 and previously ran a celebrity blog, posing with dozens of A-listers including Taylor Swift, Selena Gomez, Katy Perry, Miley Cyrus and Harry Styles.
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