screenA

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

screenB

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