Police also wanted a battery drill and "a tool with a round head capable of smashing glass".
Police have not made any arrests over the break-in, in which nine Victoria Crosses were among the 96 medals stolen.
The medals were returned last month, and the thieves got an undisclosed portion of the $300,000 reward.
The warrant shows police wanted bank account records and any identity documents "not belonging" to people at the addresses raided.
They also wanted to seize cameras.
Police are also searching for 10 pieces of black backing card to which the medals were attached.
The warrant also allowed the seizure of any museum-related documents.
The suspects can only be called W and K because of a court order.
The police searched both suspects' homes last week, as well as Mt Eden Prison, where W has been held on unrelated charges since three days after the museum burglary.
W was out on bail at the time of the break-in, having struck a deal with police over the return of a Goldie painting and other artefacts taken from the University of Auckland in a similar crime.
WHAT OFFICERS SEARCHED FOR
* Night-vision equipment and walkie-talkies.
* Shoes matching particular footprints.
* Any footwear with glass samples in it.
* Banking records.