Au
As in Australia.
gus
With the famous non-English ü, close front rounded vowel [y].
tin
As you would pronounce the number 1 in french French **unmatin**, preceded by the sound [t]. Or as Frenchor teint.
Louis
As in Saint-**Loui**s (Missouri), without pronouncing the final s.
Cau
As in co-op.
chy
As the english word she.