=COUNTIFS statement

I am running into a small problem getting a COUNTIFS formula to work. I need the formula to look at a different tab that contains the data. I need to count two different pieces of cirteria shown below.
Criteria 1 - project name
Criteria 2 - count # of cells (by date range) that relate to the project by month/year

If I count the blank cells (for the date range) it works fine. What I cannot get to work is getting the date range piece.

here is my current formula (to count blank date ranges)

=COUNTIFS(Projects2009toCurrent!L:L,"*Project 2.0*",Projects2009toCurrent!Q:Q,"")

I know at the end of the formula where the "" is, I need to include a date range. The date range I am trying to use is 10/1/2013 to 10/31/2013.

Any help is appreciated.

Glen

Thanks - I made a small change and it is working.

=COUNTIFS(Projects2009tocurrent!L:L,"*Project 2.0*",Projects2009tocurrent!Q:Q,">="&"October 1, 2013",Projects2009tocurrent!Q:Q,"<"&"October 31, 2013")

is now =COUNTIFS(Projects2009tocurrent!L:L,"*Project 2.0*",Projects2009tocurrent!Q:Q,">="&"10/1/2013",Projects2009tocurrent!Q:Q,"<"&"10/31/2013")

One follow up question. What I would like to do next is to copy this formula to the cells below and have the dates change to the next month. So 10/1/2013 becomes 11/1/2013 and so on. Once I get to 2014, the year will flip 2014. Is there a way to do this?