If you are the Family Organizer in Family Sharing, and someone initiates a recurring subscription the subscription is tied to their Apple ID, but you as the organizer must pay for it as explained when you created the Family Group.
Set up Family Sharing - Apple Support
One adult in the family—the family organizer—can set up Family Sharing for the group from their iPhone, iPad, iPod touch, or Mac. If you turn on purchase sharing, you'll be asked to confirm that you agree to pay for purchases initiated by the family members you invite and that you have a valid payment method on file.
They would need to unsubscribe from it on their account for it to stop charging you.