React navigation goBack() and update parent state

You can pass a callback function as parameter when you call navigate like this:

  const DEMO_TOKEN = await AsyncStorage.getItem('id_token');
  if (DEMO_TOKEN === null) {
    this.props.navigation.navigate('Login', {
      onGoBack: () => this.refresh(),
    });
    return -3;
  } else {
    this.doSomething();
  }

And define your callback function:

refresh() {
  this.doSomething();
}

Then in the login/registration view, before goBack, you can do this:

await AsyncStorage.setItem('id_token', myId);
this.props.navigation.state.params.onGoBack();
this.props.navigation.goBack();

Update for React Navigation v5:

await AsyncStorage.setItem('id_token', myId);
this.props.route.params.onGoBack();
this.props.navigation.goBack();