Versions' description is not supported in the basket view, but you can follow the below steps to have it done:
1. Add a Literal control to BasketView.ascx inside the "rptBasket" control (see image1)
<asp:Literal ID="litVersionDescription" runat="server" Text="" />
2. Add code to get the version description to the BasketView.ascx.vb inside the "rptBasket_ItemDataBound" event (see image2)
Try
Dim strDescription As String = LanguageElementsBLL.GetElementValue(Session("LANG"), 1, 2, objItem.VersionID)
If strDescription <> "# -LE- #" Then CType(e.Item.FindControl("litVersionDescription"), Literal).Text = strDescription
Catch ex As Exception
CType(e.Item.FindControl("litVersionDescription"), Literal).Text = ""
End Try