I think I may have figured out some of the animal sounds used for the dinosaurs on Warpath: Jurassic Park.

Acrocanthosaurus: Donkey/Tiger/Elephant

Giganotosaurus: ???

Stygimoloch: Elk/Goat/Llama/Cougar

Suchomimus: Tiger/Crocodilian/Slowed-down pig squeals

Ankylosaurus: Bull/Hippo/Camel groan for victory

Styracosaurus: Walrus/Moose/Rhino/Cow

Carcharodontosaurus: Siberian Tiger

Pachycephalosaurus: Jaguar/Baby Jaguar/Cougar/Leopard

Spinosaurus: Wild Boar/Hyena/Slowed-down pig squeals

Cryolophosaurus: Lion/Leopard at the beginning of victory

Triceratops: Possibly grizzly bear and elephant

Albertosaurus: ???

If you know what others might have been used, feel free to let me know!