Vehicle registration renewal orders in LA Wallet are processed by the Office of Motor Vehicles. Delivery usually takes 2-4 weeks to the mailing address provided to you during ordering or the one on your registration (if they're the same). 

If your new physical vehicle registration is not received 30 days from the date of purchase, please visit an OMV location for assistance. Their open locations are listed here: https://offices.omv.la.gov where you can schedule an appointment.