"Police are seeking the whereabouts of a 46-year-old man of no fixed address in relation to a number of recent burglaries in the Melbourne CBD and St Kilda areas and breach of bail conditions", the force said in a statement on Thursday night.
Rogers' long-time public defender, Melinda Walker, told ABC that in the 20 years she had known Rogers it was the first time he had voluntarily handed himself in to police.
The "Trolley Man" was involved in a terrifying smash and grab burglary just hours before the fearless vigilante helped police take down the Bourke Street terrorist.
Mr Rogers became a national sensation when he used a trolley cart to ram knife-wielding Hassan Khalif Shire Ali after his stabbing rampage, which killed one person and brought Melbourne to a standstill.
He has been charged with two counts of burglary, two counts of theft, and committing an indictable offence on bail.
Police prosecutor Paul Bush opposed bail saying Rogers posed an unacceptable risk of reoffending and that his criminal "priors" spoke for themselves.
Image Michael Rogers was named 'trolley man'. Pic Windix Wechat
After it emerged that Rogers was homeless, a GoFundMe page was set up to help him get back on his feet, attracting more than $140,000 in donations in a week.
On Saturday he granted the bail under the condition that he report to police daily, abide by a curfew, undertake drug screenings and a court program to help him receive treatment.
She said Rogers was humbled by the generosity, which is what compelled him to turn himself into police.
On Monday, Mr Rogers told 7.30 he felt other people were more deserving of "hero" status than him.
Just a day before the attack on Bourke Street, it's alleged Rogers broke into a CBD cafe and took $500 from the till.