While both are based on the same recurring order service, Coffee Plus by Nespresso elevates the program by offering special benefits that are only available with Coffee Plus. EasyOrder isn't offered any longer.
If you already had a recurring order set up via EasyOrder, you are automatically part of Coffee Plus and can select a bonus coffee to receive with every 9 cumulative coffee sleeves (90 capsules) by signing in and editing your recurring order in My Account > My Recurring Orders.