Finch, Warner and Labuschagne struck fifties to give Australia a fighting total.
Before home series Bangladesh will travel to Ireland on May 8 to play three ODIs and four T20Is.
Alyssa Healy, Beth Mooney, Schutt and Jess Jonassen hand clinical Australia fifth T20 World Cup title.
South Africa beat Australia by six wickets in the third and final one-day international at Senwes Park on Saturday.
Australia defeat South Africa by 5-run (DLS) in semifinal; to face India in final
Janneman Malan maiden ton, Lungi Ngidi six-for clinch South African first series win of Boucher era.