Copy entire row to another sheet when either one of two criteria is met

Lavalips 

Right-click the sheet tab of AuditChecklist.

Select 'View Code' from the context menu.

Copy the following code into the worksheet module (Edited to correct typo😞

Private Sub Worksheet_Change(ByVal Target As Range)
    Dim wsh As Worksheet
    Dim rng As Range
    If Not Intersect(Range("H10:H" & Rows.Count), Target) Is Nothing Then
        Set wsh = Worksheets("NonConformitySchedule")
        For Each rng In Intersect(Range("H10:H" & Rows.Count), Target)
            Select Case rng.Value
                Case "M", "R"
                    rng.EntireRow.Copy Destination:=wsh.Range("A" & rng.Row)
                Case Else
                    ' Do nothing
            End Select
        Next rng
        Application.CutCopyMode = False
    End If
End Sub

Switch back to Excel.

Save the workbook as a macro-enabled workbook (*.xlsm) and make sure that you allow macros when you open it.