So in Excel, we know it\'s possible to test against multiple criteria via concatenation, like this:
MATCH(criteria1&criteria2, Range(), 0)
This works:
Sub dural()
crit1 = "find "
crit2 = "happiness"
N = Application.WorksheetFunction.Match(crit1 & crit2, Range("A1:A10"), 0)
MsgBox N
End Sub
with, say A3 containing:
find happiness
EDIT#1:
Consider the case of multiple criteria in several columns. For example:

and we want VBA to retrieve the name of a small, black, dog
without VBA in a worksheet cell we can use:
=INDEX(D1:D100,SUMPRODUCT(--(A1:A100="dog")*(B1:B100="small")*(C1:C100="black")*ROW(1:100)),1)
to get the name Oscar
we can use the same formula in VBA
Sub luxation()
Dim s As String, s2 As String
s = "INDEX(D1:D100,SUMPRODUCT(--(A1:A100=""dog"")*(B1:B100=""small"")*(C1:C100=""black"")*ROW(1:100)),1)"
s2 = Evaluate(s)
MsgBox s2
End Sub