Thankfully, Barbara and Diana already built up a repoire with one another when they along with the Justice League defeated Queen Bee only months before. As for Helena and Diana, they quickly assimilated to one another working side-by-side with the Justice Society allies on New Genesis, saving their universe from Darkseid's incursion into their universe.
While acquainted prior to these tales, the Girls of Steel and Amazing Amazons had theretofore not worked side-by-side until they were absconded from their worlds to alien planets in another cosmos. While Wonder Woman and Supergirl were abducted by Klamos the Mighty in order for one of them, the victor of a battle between them, to become his queen... Wonder Woman and Power Girl were brought to New Genesis in the same case as mentioned above. Although the Earth-One Diana and Supergirl dueled, it was only to get close enough to Klamos to render his devices inert and reveal his identity. Earth-Two Diana and Power Girl worked on seperate teams to defeat their foe.