that is an unusual combination of charts because bar charts have a numeric x-axis and line charts have a numeric y-axis … but anyway, here's some code to get you started
this.ultraChart1.ChartType = ChartType.Composite;
NumericSeries stackSeries1 = new NumericSeries();
stackSeries1.Label = "Stack One";
stackSeries1.Points.Add(new NumericDataPoint(1.0, "A", false));
stackSeries1.Points.Add(new NumericDataPoint(2.0, "B", false));
stackSeries1.Points.Add(new NumericDataPoint(3.0, "C", false));
NumericSeries stackSeries2 = new NumericSeries();
stackSeries2.Label = "Stack Two";
stackSeries2.Points.Add(new NumericDataPoint(4.0, "D", false));
stackSeries2.Points.Add(new NumericDataPoint(5.0, "E", false));
stackSeries2.Points.Add(new NumericDataPoint(6.0, "F", false));
NumericSeries lineSeries1 = new NumericSeries();
lineSeries1.Points.Add(new NumericDataPoint(7.0, "G", false));
lineSeries1.Points.Add(new NumericDataPoint(8.0, "H", false));
lineSeries1.Points.Add(new NumericDataPoint(9.0, "I", false));
NumericSeries lineSeries2 = new NumericSeries();
lineSeries2.Points.Add(new NumericDataPoint(8.0, "J", false));
lineSeries2.Points.Add(new NumericDataPoint(7.0, "K", false));
lineSeries2.Points.Add(new NumericDataPoint(6.0, "L", false));
ChartArea area = new ChartArea();
AxisItem xAxisForStackBar = new AxisItem();
xAxisForStackBar.OrientationType = AxisNumber.X_Axis;
xAxisForStackBar.DataType = AxisDataType.Numeric;
xAxisForStackBar.Extent = 10;
xAxisForStackBar.Labels.ItemFormatString = "<DATA_VALUE:0.0>";
xAxisForStackBar.TickmarkStyle = AxisTickStyle.Smart;
AxisItem yAxisForStackBar = new AxisItem();
yAxisForStackBar.OrientationType = AxisNumber.Y_Axis;
yAxisForStackBar.DataType = AxisDataType.String;
yAxisForStackBar.SetLabelAxisType = SetLabelAxisType.GroupBySeries;
yAxisForStackBar.Labels.SeriesLabels.FormatString = "<SERIES_LABEL>";
AxisItem xAxisForLine = new AxisItem();
xAxisForLine.OrientationType = AxisNumber.X_Axis;
xAxisForLine.DataType = AxisDataType.String;
xAxisForLine.SetLabelAxisType = SetLabelAxisType.ContinuousData;
xAxisForLine.Labels.ItemFormatString = "<ITEM_LABEL>";
AxisItem yAxisForLine = new AxisItem();
yAxisForLine.OrientationType = AxisNumber.Y_Axis;
yAxisForLine.DataType = AxisDataType.Numeric;
yAxisForLine.Extent = 10;
yAxisForLine.Labels.ItemFormatString = "<DATA_VALUE:0.0>";
yAxisForLine.TickmarkStyle = AxisTickStyle.Smart;
area.Axes.Add(xAxisForStackBar);
area.Axes.Add(yAxisForStackBar);
area.Axes.Add(xAxisForLine);
area.Axes.Add(yAxisForLine);
ChartLayerAppearance stackBarLayer = new ChartLayerAppearance();
stackBarLayer.ChartType = ChartType.StackBarChart;
stackBarLayer.Series.Add(stackSeries1);
stackBarLayer.Series.Add(stackSeries2);
stackBarLayer.ChartArea = area;
stackBarLayer.AxisX = xAxisForStackBar;
stackBarLayer.AxisY = yAxisForStackBar;
ChartLayerAppearance lineLayer = new ChartLayerAppearance();
lineLayer.ChartType = ChartType.LineChart;
lineLayer.Series.Add(lineSeries1);
lineLayer.Series.Add(lineSeries2);
lineLayer.ChartArea = area;
lineLayer.AxisX = xAxisForLine;
lineLayer.AxisY = yAxisForLine;
this.ultraChart1.CompositeChart.ChartAreas.Add(area);
this.ultraChart1.CompositeChart.ChartLayers.Add(stackBarLayer);
this.ultraChart1.CompositeChart.ChartLayers.Add(lineLayer);