In order to breed an F1 Aussiedoodle, you would need to cross a pedigree Poodle with a pedigree Australian Shepherd.
The pedigree status of both parent breeds is important if you specifically want to breed an F1 Aussiedoodle because otherwise, the split of genetics would not be 50/50.
Breeding F1 Aussiedoodles should be left to professional and experienced breeders, however. This is because thorough health testing needs to be conducted in order to avoid certain health conditions. These include cataracts, autoimmune thyroiditis, epilepsy, and hip dysplasia.
You can breed an F1 Aussiedoodle with a pedigree Poodle to produce an F1b Aussiedoodle. Alternatively, you could breed two F1 Aussiedoodles together to make an F2 Aussiedoodle. Again, however, this is a task best left to experienced and seasoned professionals.
In addition to the complexity of working out whether an F2 Aussiedoodle is hypoallergenic (see above), F2 Aussiedoodles may be prone to other health conditions because they are more likely to inherit recessive traits. These potential conditions should be tested for and monitored by somebody with sufficient experience.