The fact that the trademark is followed by australia is not necessarily true.

It is not necessarily true that UGG is marked with australia. UGG is a brand from the United States. Its full English name is UGG Australia, but there is no UGG brand in Australia. Many UGGs with prefixes on the market are not authentic. Some fake and shoddy products will imitate UGG trademarks, such as UCC, UCG, etc.