Listbox on Userform not transferring data

It's hard to work with a picture. Can you attach copy of your file (de-sensitized if necessary)?

It is just easier to work with the file to test any possible solutions. You don't need to include all the data, just enough to make it representative of your actual data and how it is organized

Many of the column references of this code are the same

ThisWorkbook.Worksheets("Master Sheet").Cells(lastrow + 1, 1).Value = ListBox1.Text

ThisWorkbook.Worksheets("Master Sheet").Cells(lastrow + 1, 1).Value = ListBox2.Text

ThisWorkbook.Worksheets("Master Sheet").Cells(lastrow + 1, 1).Value = TextBox3.Text

ThisWorkbook.Worksheets("Master Sheet").Cells(lastrow + 1, 2).Value = ListBox3.Text

ThisWorkbook.Worksheets("Master Sheet").Cells(lastrow + 1, 2).Value = ListBox4.Text

ThisWorkbook.Worksheets("Master Sheet").Cells(lastrow + 1, 2).Value = TextBox16.Text

ThisWorkbook.Worksheets("Master Sheet").Cells(lastrow + 1, 3).Value = TextBox4.Text

The cells are being written to and over-written so that the data from the TextBoxes are the last thing written in the cells.

If the data written to the cells depends on the option button selected, that should be written into code that writes to the sheet. What you posted will result in only the textbox entries being in the cell, no matter what option buttons are selected. (I don't see any option buttons in the picture of the userform).

That code tests if the user has selected "True" as the entry from a list box.
If you want to test if the user has made a selection from a ListBox, code like this should be used.

With ThisWorkbook.Worksheets("Master Sheet").Cells(lastrow + 1, 1)
    If ListBox2.ListIndex = -1 Then
        Rem no selection from ListBox
        .Value = TextBox3.Text
    Else
        .Value = ListBox2.Text
    End If
End With