Are you referring to a plug socket?
I have two eyes and one mouth,
A plug socket has three holes at least in some places. Up side down it looks like two eyes and a mouth
both my eyes are hallowed out.
They are the two holes at the bottom
My mouth won't let me talk, yet
my eyes will have you shocked.
The electric current comes out of the two holes bottom holes only not the top.
For though air is what's inside,
Again they are holes...
I'm one reason why many died.
Many accidents are caused by electric shocks from these appliances.
What am I, that causes doom?
Here's a hint, I'm in your room.
It is in my room.