activeSheet.Copy(Type.Missing, activeSheet);

var outputSheetIndex = activeSheet.Index + 1;

var outputSheet = (Worksheet)application.Sheets[outputSheetIndex];

var startCell = outputSheet.Cells[1, 1];
                    var endCell = outputSheet.Cells[output.Count(),
                        properties.Length + 1];

              var writeRange = outputSheet.Range[startCell, endCell];

writeRange.Insert(XlInsertShiftDirection.xlShiftToRight);