Since you will continue to be a resident of CA, ALL your income will remain taxable by CA, regardless of your employer's location. Your income would not be taxable by NC so long as you never actually (physically) work in NC.
A handful of states tax non-resident remote workers, but NC is not one of them.
This is an income tax forum, and questions about employer state tax obligations are beyond its scope.
**Answers are correct to the best of my ability but do not constitute tax or legal advice.
