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According to your description, I suggest that you can try Firebase. Firebase is a back-end platform for building Web, Android, and iOS applications. It offers real-time database, Notifications, different APIs, multiple authentication types and hosting platform.
You need to set up the Notification in specific Xamarin.Android project and Xamarin.iOS project.
You can have a look at official document here and Remote Notifications with Firebase Cloud Messaging, there are step-by-step explanations of how to use Firebase Cloud Messaging to implement
remote notifications (also called push notifications) in a
You can use Xamarin.Firebase.iOS.CloudMessaging to send iOS push notification by FCM.
There are also steps here: Firebase Cloud Messaging on iOS
Firebase document for push notification to native app is here: cloud-messaging
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