public List<CIMFeatureSortInfo> GetFeatureDrawOrder()

{
    //Within QueuedTask.Run()
    if (featureLayer.GetIsFeatureDrawOrderSupported())
    {
        //Provide the field name to use and the sort ordering
        //The field must exist on the layer. Check the field can be used first
        if (featureLayer.GetCanSetFeatureDrawOrder("Police_Precinct", SortOrderType.Ascending))
        {
            //Set the FDO to use the "Police_Precinct" field and ascending sort order
            featureLayer.SetFeatureDrawOrder("Police_Precinct", SortOrderType.Ascending);
        }
    }
}

{
    //Within QueuedTask.Run()
    if (featureLayer.GetIsFeatureDrawOrderSupported())
    {
        var cimFeatSortInfo = featureLayer.GetFeatureDrawOrder();
        var c = 0;
        System.Diagnostics.Debug.WriteLine("Feature Sort Info:");
        foreach (var fs_info in cimFeatSortInfo)
        {
            System.Diagnostics.Debug.WriteLine(
              $"fs_info[{c++}] {fs_info.FieldName}: {fs_info.SortDirection.ToString()}");
        }
    }
}