There are two ways to pass parameters to the method selected in the ListPopulationSettings to fill the list via a BO.
The first is to simply pass the parameters to the Requery() method. I.e. if you have a fill method that takes two parameters: FillByAccountDate(accountID As Integer, txDate As Date), you would use a requery like this: Requery(theAccountID, theTxDate). This is generally fine if you are only calling the requery method from one place in code.
If you call it from more than one place (a frequent situation), you'd hand the ListPopulating event of the listbox/listview. The event arg has a property called Paramters, which is an array of objects. You load the parameters here. I.e.
Private Sub lstAny_ListPopulating(ByVal e As Microfour.StrataFrame.UI.ListPopulatingEventArgs) Handles lstAny.ListPopulating
e.Parameters(0).Value = theAccountID
e.Parameters(1).Value = theTxDate
End Sub
This gets called just before the list is populated and fills the parameters that are passed to the fill method.
I hope this helps.
NOTE: I just typed this in, so the code might not be 100%, but hopefully you get the idea.