This is how to solve the issue on the messaging module example.

1. Use this type of the import:

import { getMessaging, requestPermission, setBackgroundMessageHandler, onMessage, getToken, onNotificationOpenedApp, getInitialNotification, subscribeToTopic, hasPermission } from '@react-native-firebase/messaging';

2. Remove all messaging() calls and use imported methods directly. All of them (except getMessaging) require first additional argument: messaging instance.

Old code:

messaging().getInitialNotification().then(message => this.catchMessage(message));
var token = await messaging().getToken();

New code:

const messagingInstance = getMessaging();

getInitialNotification(messagingInstance).then(message => this.catchMessage(message));
var token = await getToken(messagingInstance);

Big example code is given here: https://github.com/invertase/react-native-firebase/issues/8282#issuecomment-2760400136