One license cannot run across both Windows and Mac system no matter which type of license it is.
If your order is within 30 days, you purchased the Windows /Mac license and want to use it on Mac/Windows system, you can purchase the right program from our website and send both order details (please see refund process for more detail [Support]) to our support team via support@soouya.com . Our support team will get back to you after checking as soon as possible.
If your order is out of 30 days, you might require purchasing a new license from our website, then you would be able to use the license.