Potty Issues

[along]

Hello everyone,
My husband and I need some ideas and advice about our Yorkie because our patience with her is shot! She is over a year old and still not fully house broken!

We did the crate training for a year and she still had accidents.
So we put in a doggy door. We put up a doggy gate to only give her a very small space, this way she will favor going outside rather than pooping in her bed. When we are home she will use it but the issue is when we are not around. If we are gone or asleep at night, she does not like to use it. So she is having accidents in her bed! Mostly poo. Why would she rather poo in her own bed than to just step outside!! I think she got in the habit of going during the night inside. It's driving us crazy and we are thinking about giving her away. We love her so much and she is the cutest thing in the world so please help if you can! We would most appreciate it!! Thank you.