How to modify my VBA code that can only target 1 row at a time to keep running for each additional row that is not empty?

Sub modIncTool()
'160908 modified s4p
   On Error Resume Next
   
   Dim nRow As Long _
      , theOriginalQuote _
      , theNewQuote _
      , theSiteGroup _
      , theTechnician _
      , theReason _
      , theDateRequested _
      , Result
      
   Dim objAcc As Object
   Set objAcc = GetObject(, "Access.Application")
   
   nRow = 2
   
   With Sheets("Import")
      Do While .Cells(nRow, 1) <> ""
         theOriginalQuote = .Range(.Cells(nRow, 1))
         theNewQuote = .Range(.Cells(nRow, 2))
         theSiteGroup = .Range(.Cells(nRow, 6))
         theTechnician = .Range(.Cells(nRow, 7))
         theReason = .Range(.Cells(nRow, 8))
         theDateRequested = .Range(.Cells(nRow, 9))
         Result = objAcc.Run( _
            "RecreateTool_AddRecord" _
            , theOriginalQuote _
            , theNewQuote _
            , theSiteGroup _
            , theTechnician _
            , theReason _
            , theDateRequested _
            )
         nRow = nRow + 1
      Loop
   End With
   Set objAcc = Nothing
   
   MsgBox "Did up to row " & nRow - 1, , "Done"
   
End Sub

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what do you plan to do with the Result ? It is calculated but goes nowhere ...

The result needs to look like this.

Result = objAcc.run("RecreateTool_AddRecord", theOriginalQuote, theNewQuote, theSiteGroup, theTechnician, theReason, theDateRequested)

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The result is calling for the below sub to run in the Access DB.

Public Sub RecreateTool_AddRecord( _
                ByVal theOriginalQuote As String, _
                ByVal theNewQuote As String, _
                ByVal theSiteGroup As Long, _
                ByVal theTechnician As String, _
                ByVal theReason As String, _
                ByVal theDateRequested As String)

    sSQL = "INSERT INTO [Quote Recreation Tracker] ([Original Quote#], [New Quote#], [Status], " & _
        "[Requesting Technician Site Group], [Requesting Technician User Name], [Reason for Request], " & _
        "[Date Requested], [Date Completed]) " & "VALUES ( '" & _
        theOriginalQuote & "', '" & theNewQuote & "', 'Approved', " & theSiteGroup & ", '" & _
        theTechnician & "', '" & theReason & "', #" & theDateRequested & "#, #" & Date & "#);"
    CurrentDb.Execute sSQL, dbFailOnError
End Sub

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ok -- in Excel, it would be good to make the result something meaningful. Currently, you do not even need it -- you could use CALL instead or not surround arguments with parentheses since there is not anything returned ... however, there could be.

In Access, in the RecreateTool_AddRecord code, Make it a function and return a boolean value of true or false

Public Function RecreateTool_AddRecord(  ...) as boolean

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then instead of "CurrentDb.Execute sSQL, dbFailOnError"

with CurrentDb
   .Execute sSQL, dbFailOnError
   if .RecordsAffected >0 then
      RecreateTool_AddRecord =true
   else
      RecreateTool_AddRecord =false
   end if
end with 'currentdb

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then in Excel:

if objAcc.Run( _
            "RecreateTool_AddRecord" _
            , theOriginalQuote _
            , theNewQuote _
            , theSiteGroup _
            , theTechnician _
            , theReason _
            , theDateRequested _
            ) <> true then
   if msgbox ("Error occurred on row " & nrow _
         & vbcrlf & "Do you want to stop?" _
         vbyesno, "Error -- stop?") = vbyes then
      go to proc_exit
   end if
end if

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proc_exit would then be a line label added above the statement to release the Access object, which would be done after the message box

    MsgBox "Did up to row " & nRow - 1, , "Done"
Proc_Exit:
   on error resume next
   Set objAcc = Nothing

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space underscore at the end of a line means the statement is continued on the next line

Error handling could also be added. To learn more:

1. basic error handling code for VBA (3:48)
https://www.experts-exchange.com/videos/1478/Excel-Error-Handling-Part-1-Basic-Concepts.html

2. Run and Fix Code Loop through rows of an Excel spreadsheet using VBA (6:00)
https://www.experts-exchange.com/videos/1498/Excel-Error-Handling-Part-2-VBA-to-Copy-Values-Down-to-Blank-Cells-in-an-Excel-Column.html

3. Error Handling Part 3 - Run and Fix Bugs (7:51)
https://www.experts-exchange.com/videos/1518/Excel-Error-Handling-Part-3-Run-and-Fix-Bugs.html

I'm sorry, but I don't have any control over the Access DB.  Any changes would have to be in Excel.

it was only a suggestion ... the code I gave you should work fine.  Did you try it?

The first code that you posted does not work.  I attached a screen shot of the error and the debug screen.  The error is on the Access DB side.  From what I understand, the updated data needs to be within the " " for the below line in order for it to work.    

Result = objAcc.run(" ")

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Error.jpg
Debug.jpg

I was thinking since the original code works for just 1 row/record, a workaround could be for the code to run for the first row (row 2) and then delete the row and then if cell A2 is not blank then run the code again and again until cell A2 is blank.

I created my own solution and posted it.