Hello,
This warning message is reported by the feature service. I assume you have enabled feature access capability on this service. Only feature layers/tables from an enterprise geodatabase is supported by the feature service. Are there any other types of layers in this map document that is published?
Thanks
There is no problem. Feature server is warning that it does not support basemap layers (layers 4 and 5 in your map). In the feature service resource (<serviceName>/FeatureServer) endpoint, these two layer may not be listed. You should be able to use other feature layers/tables via the feature services.
I am assuming you enabled feature access capability on the service to support editing of features through the service? If the service is not intended for editing then the feature access can be disabled.