OK - here you go ...

Option Explicit
Option Base 1

Sub MatchAndPaste()
Dim strPartsSheet As String, strDetailSheet As String, strSummarySheet As String
Dim intFirstDataRow As Integer, intLastDataRow1 As Integer, intLastDataRow2 As Integer
Dim sht As Worksheet
Dim strPart As String, strDetail As String, strOrder As String
Dim intCount As Integer

Dim i As Integer, j As Integer

    'setup/intialise:
    strPartsSheet = "Sheet1"
    strDetailSheet = "Sheet2"
    strSummarySheet = "Sheet3"
    intFirstDataRow = 2
    
    intLastDataRow1 = Worksheets(strPartsSheet).Cells(intFirstDataRow, 1).CurrentRegion.Rows.Count
    intLastDataRow2 = Worksheets(strDetailSheet).Cells(intFirstDataRow, 1).CurrentRegion.Rows.Count
    
    For Each sht In Worksheets
        If sht.Name = strPartsSheet Or sht.Name = strDetailSheet Then
            Worksheets(sht.Name).Select
            Worksheets(sht.Name).Range("A1").Sort _
                key1:=Worksheets(sht.Name).Columns("A"), order1:=xlAscending, _
                key2:=Worksheets(sht.Name).Columns("B"), order2:=xlAscending, _
                header:=xlYes
        End If
    Next sht
    
    intCount = 0
    Worksheets(strSummarySheet).Cells.ClearContents
    
    For i = intFirstDataRow To intLastDataRow1
        For j = i To intLastDataRow2
            If Worksheets(1).Range("A" & i) = Worksheets(2).Range("A" & j) Then
                If Worksheets(1).Range("B" & i) = Worksheets(2).Range("B" & j) Then
                    strOrder = Worksheets(1).Cells(i, 1).Text
                    strPart = Worksheets(1).Cells(i, 3).Text
                    strDetail = Worksheets(2).Cells(j, 3).Text
                    intCount = intCount + 1
                    Worksheets(strSummarySheet).Range("A" & intFirstDataRow + intCount - 1).Value = strOrder
                    Worksheets(strSummarySheet).Range("B" & intFirstDataRow + intCount - 1).Value = strPart
                    Worksheets(strSummarySheet).Range("C" & intFirstDataRow + intCount - 1).Value = strDetail
                    Exit For   'assuming only 1 match is possible.
                End If
            End If
        Next j
    Next i
    With Worksheets(strSummarySheet)
        .Columns("A:C").NumberFormat = "@"
        .Columns("A:C").HorizontalAlignment = xlRight
        .Cells(1, 1).Value = "Order Number"
        .Cells(1, 2).Value = "Part Number"
        .Cells(1, 3).Value = "Detail"
        .Range("A1").Sort _
            key1:=Worksheets(3).Columns("A"), order1:=xlAscending, _
            key2:=Worksheets(3).Columns("B"), order2:=xlAscending, _
            header:=xlYes
    End With

End Sub