Can I transit through Australia with homemade snacks for kids?

I am flying from New Zealand to the UK, via Melbourne and Dubai. My plan was to make lots of snacks for my 3 year old and 11 month old. Thinking bliss balls, banana pancakes, muffins, yoghurt pouches, prepackaged baby pouches, ect. Are these foods allowed in hand luggage as we just transit through (3 hours 45 in the airport)? The website is confusing and I know you can get some hefty fines in Aus!