AS 5810 is the Australian standard on home compostability. EN 13432 and AS 4736 are covering industrial compostability only.
AS 5810 is very similar to OK Compost Home, be it that also an earthworm toxicity test is needed. In other words, if a product is already OK Compost Home certified, only earthworm toxicity testing would be needed to comply also with AS 5810.