I already tryed many ways to solve this, but nothing works.
making-wearablelistenerservice-ondatachanged-call-on-every-putdatamaprequest
wearablelistenerservices-ondatachanged-not-called-on-phone
AndroidManifest.xml
    <service android:name="my.package.ListenerService"
        android:enabled="true"
        android:exported="true">
        <intent-filter>
            <action android:name="com.google.android.gms.wearable.DATA_CHANGED" />
            <action android:name="com.google.android.gms.wearable.MESSAGE_RECEIVED" />
            <data
                android:host="*"
                android:pathPrefix="/prefix"
                android:scheme="wear" />
        </intent-filter>
    </service>
MainActivity
  IntentFilter messageFilter = new IntentFilter(Intent.ACTION_SEND);
  MobillsWearActivity.MessageReceiver messageReceiver = new MobillsWearActivity.MessageReceiver();
  LocalBroadcastManager.getInstance(this).registerReceiver(messageReceiver, messageFilter);
Service
public class ListenerService extends WearableListenerService {
private final String TAG_WEAR = "[on-wear]";
@Override
public void onDataChanged(DataEventBuffer dataEvents) {
    for (DataEvent event : dataEvents) {
        // Check the data type
        if (event.getType() == DataEvent.TYPE_CHANGED) {
            DataMapItem dataItem = DataMapItem.fromDataItem (event.getDataItem());
            String jsonString = dataItem.getDataMap().getString("listDespesas");
            // Broadcast message to wearable activity for display
            Intent messageIntent = new Intent();
            messageIntent.setAction(Intent.ACTION_SEND);
            messageIntent.putExtra("listDespesas", jsonString);
            LocalBroadcastManager.getInstance(this).sendBroadcast(messageIntent);
            Log.i(TAG_WEAR, "Recebido no wearable: "+jsonString);
        }
    }
}
@Override
public void onMessageReceived(MessageEvent messageEvent) {
    Toast.makeText(this, "Received message", Toast.LENGTH_LONG).show();
}
}
				
                        
The answer of Tom in this link works for me
There are two things you can check: