Beer bottle, no. No deadly threat. Person is still outside.
If they have an axe in their hand they have a weapon, you can infer their intent to do crimes once inside. No question as to reasonableness of fear for safety. I’d still warn a bunch of times and command them to stop, and I’d only shoot if it was clear they were coming inside.
The thing to remember is that it’s all evaluated from the standpoint of self defense of your person, not property. Deadly force is never authorized to protect mere property.