I got it fugured out. I had additional info place in the date functions, then what needed to be there.
=DAvg(" [Occpncy Rate(Skill Level)] ","[Non SG w/ Transfers Daily QRY]","Date Between #" & DateAdd("q",-1([Date]) & "# AND #" & [Date] & "#") This ended up to provide the quarter results.
=DAvg("[Strght Avg Abdn%] ","[Non SG w/ Transfers Daily QRY]","Date Between #" & DateAdd("m",-Month([Date]),[Date]) & "# AND #" & [Date] & "#") This was for the month results.