The women, who on day one managed only one point with a win to Chantelle Cassidy in the singles, came up with only one point again on day two through Emily Perry and Cassidy in the foursomes.
The Kiwi pair defeated Grace Lennon and Breanna Elliott by 4 and 2 but lost all of the singles matches in the afternoon session to lose by 10-2.
It was a similar story in both the junior boys and girls, who received a steep learning curve in their first international tour for New Zealand. The junior girls were beaten 10-2 and the junior boys went down by a margin of 9-3.
New Zealand have not won the trophy since it began in 2007.
Results from the Trans-Tasman Cup, Peninsula Golf Club, Melbourne:
Overall result: Australia 34 1/2 New Zealand 13 1/2
Men: New Zealand 6 1/2 Australia 5 1/2
Women: Australia 10 New Zealand 2
Junior girls: Australia 10 New Zealand 2
Junior boys: Australia 9 New Zealand 3