Hello,
I can develop a plugin that will do that task. After installing plugin you will be able to configure your account details, and frequency of sync(for example daily, weekly etc) and plugin will do it's job automatically.
Let's discuss if you have any doubt about my skills, I am sure I will not disappoint you. We specialise in developing woocommece adon plugins following their quality code guideline.
I am sure about getting this done for you.
Thanks,