what was it's result?
The Iraqi military was defeated by the coalition military power of the Australian forces
Military history of Australia
The Iraqi military quickly proved no match for coalition military power, and with their defeat the bulk of Australian forces were withdrawn. 
when was the last time australia was in a war 2003 invasion of Iraq
wiki:182913
Military history of Australia [SEP] Iraq, 2003–11
During the invasion the RAAF also flew its first combat missions since the Vietnam War, with No. 75 Squadron flying a total of 350 sorties and dropping 122 laser-guided bombs. The Iraqi military quickly proved no match for coalition military power, and with their defeat the bulk of Australian forces were withdrawn. While Australia did not initially take part in the post-war occupation of Iraq, an Australian Army light armoured battlegroup—designated the Al Muthanna Task Group and including 40 ASLAV light armoured vehicles and infantry—was later deployed to Southern Iraq in April 2005 as part of Operation Catalyst. The role of this force was to protect the Japanese engineer contingent in the region and support the training of New Iraqi Army units.