Add the following macro and attach it to a button on your previous search page and call it Data Clear (or whatever takes your fancy).
Dim rngTable As Range
Dim c As Range
Dim intCount, intLoop As Integer
Set rngTable = Range("ListStart").CurrentRegion
intCount = rngTable.Rows.Count
Set rngTable = Range("ListStart")
For intLoop = 1 To intCount
Range("CatalogStart").Offset(rngTable.Offset(intLoop - 1, 1) - Range("CatalogStart").Row, -1).EntireRow.Delete
Then do a search using the FindMatches to search for 'axiom' or whatever other search term you like and click the new button. If you want your catalog renumbered you will have to run another search or there will have to be more code added to this to do it immediately.
I have not addressed the 'x' in last column question as I was not sure whether you were asking for one or the other.