Processes in Microsoft 365 for setting up Office apps, redeeming product keys, and activating licenses.
Did you carefully follow the steps at https://support.microsoft.com/en-us/office/share-your-microsoft-365-family-or-premium-subscription-b389b9ce-3ae3-4a82-9017-39d79972fcba to invite your family member?
And did your family member then follow the steps in the article at https://support.microsoft.com/en-us/office/someone-invited-you-to-share-their-microsoft-365-subscription-6a6c098e-1934-4436-9a94-69c92590da5b to accept the invite and install?