The problem is that you are pasting the items after the range and then formatting the range. Without your workbook it is impossible to check, but the following should be closer:
Code:
For i = 6 To Sheets.Count
range2.Collapse direction:=0
range2.Style = "kop 2"
Worksheets(i).Range("AU20").Copy
Application.Wait (Now + TimeValue("0:00:01"))
range2.PasteSpecial Placement:=0, DataType:=2
appwd.ActiveDocument.Range.InsertParagraphAfter
range2.End = appwd.ActiveDocument.Range.End
range2.Paragraphs(1).Style = "kop 2"
Application.CutCopyMode = False
'copy paste acties
For j = 1 To 6
range2.Collapse direction:=0
Worksheets(i).Range(bereik(j)).Copy
Application.Wait (Now + TimeValue("0:00:01"))
range2.PasteSpecial Placement:=0, DataType:=3
appwd.ActiveDocument.Range.InsertParagraphAfter
range2.End = appwd.ActiveDocument.Range.End
range2.Paragraphs(1).Style = "standaard"
Application.CutCopyMode = False
Next j
Next i