Glad you finally solved it, and thanks for getting back with the solution.
I think it works right for you if you go down to the date level of the hierarchy, correct?
WITH MEMBER [Measures].[Test] AS
SUM
(
EXISTING [Date].[Calendar].[Date].Members,
( [Measures].[Order COUNT] - (ParallelPeriod([DATE].[Calendar].[Calendar YEAR], 1), [Measures].[Order COUNT]) )
)
SELECT{[Measures].[Test], [Measures].[Order COUNT]} ON COLUMNS,
[Date].[Calendar].members ON ROWS
FROM [Adventure Works]