Both men are charged with wounding with intent to cause grievous bodily harm, and using a sawn-off shotgun to cause grievous bodily harm.
One of the men, a 34-year-old machine operator, was granted interim name suppression at the request of defence counsel Thomas Harre, but Judge Duggan said the order would need to be fully argued if the defence wanted it to continue beyond the next appearance.
Harre said no bail application was being made for the man, who is also charged with unlawful possession of the firearm and ammunition.
The other man, aged 28, is charged with unlawful possession of the firearm, and failing to assist a police officer doing a search under the Search and Surveillance Act.
His defence counsel, Kerryn Beaton QC, also sought interim name suppression for her client, which was granted on the same terms. She said he was not applying for release on bail, but an application for electronically monitored bail may be made later.