Starting with your chart.

Use the Source Data dialog to add 3 new series.

1st new Series will provided dataum lines and is based on G2:H6
2nd new series will provide padding to raise shaded are to correct height
3rd new series will provide shade

Format 1st new series to have no marker, required border.

Move 2nd and 3rd new series to secondary axis.
Use Chart Options dialog to enable secondary X axis.
Change chart type of 2nd and 3rd new series to stacked column.
User Source Data dialog to set ranges for these 2 series to J2 and J3.
Delete secondary Y axis.
Format 1 of the column series to have a gap width of 0.
Format 2nd new series to have no fill or border.
Format 3rd new series to have desired fill.

Fix X axis Maximum value to make lines reach across plot area.

Format secondary X axis to not show label