The Swans finished on 6.5 (41), while the Magpies swooped their way to 15.16 (106).
Charlotte McGillivray kicked five for Moama, while Jayda Richardson and Charlii Dorrity chimed in three each.
Isabella Sefton and Madelyn Andronaco kicked two each for the Swans as Tayissa Gray was named their best.
Shepparton United proved a class above when it tackled Shepparton Notre-Mooroopna at Kialla Park Main Oval.
United won 14.14 (98) to 0.2 (2).
Cassidy Mailer was the standout with eight snags and she was backed up by Kasey Boschetti and Keeley Skepper, who added two each to the tally.
The win rocketed United to the top of the table with a percentage of 4900, while the Bears sit on the bottom with two losses to their name.
In the other match of the round, Seymour started its season in fine fashion, knocking off the other winless side in the competition, Echuca United, by 68 points.
The Lions won 15.10 (100) to 5.2 (32), with Chloe Locke kicking five goals in the win.
MORE LOCAL SPORT:
Shepparton Athletics Club members clean up at Victorian Masters Track and Field Championships
Gators split double-header weekend in Big V basketball