Launch the AnyList app, then navigate to the Settings tab.
Tap on the Reminders & Siri row.
Turn Import Reminders on.
Turning Import Reminders on will cause AnyList to create a list in the Reminders app for each list in AnyList. When you launch AnyList, it will check the lists in Reminders to see if they contain any items. If they do, you will be prompted to import the items.
You can add items to the lists in Reminders via Siri.
Tell Siri, “Add <item name> to my <list name> list.” (For example, “Add apples to my Target list.”)