The Australian Electoral Commission (AEC) handed the matter to the AFP after it said it failed to find convincing proof Mr Mander actually lived where he was enrolled to vote.
"The AEC sought information regarding this matter – this included an opportunity for Mr Mander to provide information to support his enrolment claim," a spokesperson told AAP.
"While a determination has not been made, the AEC does consider that there is currently an absence of compelling evidence to determine Mr Mander resided at the enrolled address."
"As such, on May 19 the AEC referred this matter to the AFP for their consideration, and any action they consider appropriate."
The move follows revelations the senior minister, a key player in planning for Brisbane's 2032 Olympics, enrolled to vote at the home of a staffer rather than his own residence.
Mr Mander has blamed personal upheaval, citing a marriage breakdown and a period when he shuffled between friends' houses.
The minister told state parliament the Electoral Commission of Queensland had been updated and he was now enrolled at his permanent address and fully compliant with the rules.
The AFP referral lands just as Mr Mander is embroiled in a separate integrity brawl over his undeclared relationship with Families and Child Safety Minister Amanda Camm – a liaison Labor has marched to Queensland's Crime and Corruption Commission.
Premier David Crisafulli, his chief of staff Richard Ferrett, Mr Mander and Ms Camm are all named in Labor's CCC complaint, which questions whether conflicts of interest were properly declared and managed as the government signed off on Olympic venues, community grants and funding linked to the pair's electorates.
Opposition Leader Steven Miles has branded it the LNP's "integrity crisis", while the government has hit back by warning that lodging mischievous or reckless complaints with the CCC can itself be an offence.
