Miaouing means the sound a cat makes. It's like when a cat says 'meow'.
Miaouing is the sound that cats make when they want something or when they are happy.
Examples:
The cat is miaouing at the door.
I heard a cat miaouing outside.
She loves to hear her cat miaouing.
The cat keeps miaouing for food.
The little kitten was miaouing very loudly.
Stop miaouing, kitty cat!