I haven't watched an Augie Doggie cartoon since I was a kid... I do remember that Augie was the pup, and his father was Doggie Daddy, who sounded like Jimmy Durante. Most every cartoon, Doggie Daddy would laugh to himself and say, "That's my boy!"
Augie himself kind of struck me as a bit whiny, and prone to melodramatics... but I could be misremembering. I think his voice was very similar to Elroy Jetson.