Hmm something is hanging up this formula. I'm getting the #VALUE! error. Below is some example data. The result of the formula should be 2.
[TABLE="width: 125"]
<tbody>[TR]
[TD]Final Submission[/TD]
[TD]Initial Start[/TD]
[/TR]
[TR]
[TD]6/5/2014[/TD]
[TD="align: right"]6/3/2014[/TD]
[/TR]
[TR]
[TD]6/19/2014[/TD]
[TD="align: right"]6/13/2014[/TD]
[/TR]
[TR]
[TD]6/26/2014[/TD]
[TD="align: right"]6/2/2014[/TD]
[/TR]
[TR]
[TD]6/26/2014[/TD]
[TD="align: right"]6/2/2014[/TD]
[/TR]
[TR]
[TD]7/17/2014[/TD]
[TD="align: right"]6/17/2014[/TD]
[/TR]
[TR]
[TD]7/14/2014[/TD]
[TD="align: right"]7/14/2014[/TD]
[/TR]
[TR]
[TD]7/2/2014[/TD]
[TD="align: right"]7/2/2014[/TD]
[/TR]
[TR]
[TD]7/24/2014[/TD]
[TD="align: right"]7/2/2014[/TD]
[/TR]
[TR]
[TD]7/30/2014[/TD]
[TD="align: right"]7/2/2014[/TD]
[/TR]
[TR]
[TD]8/5/2014[/TD]
[TD="align: right"]7/29/2014[/TD]
[/TR]
[TR]
[TD]8/22/2014[/TD]
[TD="align: right"]8/15/2014[/TD]
[/TR]
[TR]
[TD]8/22/2014[/TD]
[TD="align: right"]8/13/2014[/TD]
[/TR]
[TR]
[TD][/TD]
[TD="align: right"]9/2/2014[/TD]
[/TR]
[TR]
[TD][/TD]
[TD="align: right"]7/9/2014[/TD]
[/TR]
[TR]
[TD][/TD]
[TD="align: right"]6/26/2014[/TD]
[/TR]
[TR]
[TD][/TD]
[TD][/TD]
[/TR]
[TR]
[TD][/TD]
[TD="align: right"]7/23/2014[/TD]
[/TR]
[TR]
[TD][/TD]
[TD="align: right"]7/9/2014[/TD]
[/TR]
[TR]
[TD][/TD]
[TD="align: right"]7/9/2014[/TD]
[/TR]
[TR]
[TD][/TD]
[TD="align: right"]7/29/2014[/TD]
[/TR]
[TR]
[TD][/TD]
[TD][/TD]
[/TR]
[TR]
[TD][/TD]
[TD][/TD]
[/TR]
</tbody><colgroup><col><col></colgroup>[/TABLE]
=SUMPRODUCT(--(MONTH(A1:A51)=MONTH(TODAY())-1),--(MONTH(A1:A51)=MONTH(B1:B51)))
Please note that none of these formulas will check to see if the two dates are in the same year or not.