is it considered good practice to pass callBacks to redux async action?

The pattern is fine per se. If this is a notification local to the component, feel free to avoid wiring it through Redux.

That said callbacks are completely unnecessary because you are already returning the promise. Just wait for its completion.

this.props.dispatch(asyncAction(item)).then(onSuccess, onFailure);

However if you have many components with such notification bars, it’s better to have a reducer keeping the current notification and reacting to actions.