"It has allowed some of New Zealand's best soldiers to impart their knowledge and high standards to Iraqi soldiers who need help to rid their country of Daesh."
Reporting indicated that after the initial nine months of the mission, known as "boiling partner capacity", the training was having "a tangible and positive impact on the ability of the Iraqi Army to take the fight to Daesh."
So far, five coalition training sites across Iraq had trained about 19,000 members of the Iraqi Security Forces since November 2014.
Mr Brownlee said the Defence Force had been assessing its contribution to the mission on a monthly basis, but he would not reveal what was being measured in those assessments.
Training was provided in basic skills which included the laws of armed conflict, human rights, basic weapons handling, combat first aid, obstacle breaching techniques and planning for combat operations.
Outside of basic training, the Iraqi Government had also requested that Task Group Taji provide support to the training of junior non-commissioned officers and three courses had been completed.
The Cabinet originally approved expenditure of $65.25 million for the two-year deployment but the review says that is likely to be $8 million less than estimated because the amount being charged by a third-party contractor to provide meals and accommodation had originated been quoted at US$300 day but was now being provided at US$160 a day.
The Cabinet paper summarising the review says that after US Defence Secretary Ash Carter sent a letter to coalitions counterparts seeking additional contributions, Britain, France, Germany, the Netherland, Italy and Denmark increase their military contributions.
Australia, which had the second largest military contribution after the United States, won't increase its contribution.
New Zealand has ruled it out, too.
The paper says that on the ground "the natural interoperability and close working relationships that exist between Australian and New Zealand personnel enables the building partner capacity mission to function effectively.
"One of the key activities in supporting this interoperability is the combined pre-deployment mission rehearsal exercise in Australia."
It was useful in allowing the contingent to prepare together and form relationships, making the transition to Taji a more seamless process.
The paper says that the establishment in July 2015 of a New Zealand embassy in Baghdad, co-located within the Australian Embassy, had further strengthened Australia-New Zealand efforts.
The review was conducted largely by Defence Force officials.