Usando 'kMDItemContentModificationDate' en 'do Shell script'

Se ha llegado a esta solución con la ayuda de script que funciona bien:

set downloadPath to path to downloads folder from user domain as string
set posixPath to quoted form of POSIX path of downloadPath

--Date to search for:
set dateStart to text returned of (display dialog "Enter search date in form 'MM/DD/YYYY'" default answer "02/03/2015")
--date "Tuesday, February 3, 2015 12:00:00 AM"
set dateStart to date dateStart
--End date (Midnight on next day)
set dateEnd to (dateStart + 24 * 60 * 60 * 1)
--date "Wednesday, February 4, 2015 12:00:00 AM"

--Begin search to now in days (rounded)
set startRound to round ((current date) - dateStart) / 86400
--End search to now in days (rounded)
set endRound to round ((current date) - dateEnd) / 86400
--Search Item
set SearchItem to "."

set theFiles to (do shell script "mdfind -onlyin " & posixPath & " 'kMDItemDisplayName == \"*" & SearchItem & "*\"&& kMDItemContentModificationDate >= $time.today(-" & startRound & ") && kMDItemContentModificationDate <= $time.today(-" & endRound & ")'")

El siguiente código hace lo que quieres. Lo encontré aquí,

http://macscripter.net/viewtopic.php?id=32855

Puede que quieras ajustar la consulta para filtrar más cosas, pero funcionó correctamente cuando lo probé rápidamente...

set parentfolder to path to downloads folder from user domain as string
set ppath to quoted form of POSIX path of parentfolder

# date for search to begin
set Bgn to "1-Dec-14"

# time from begin search to now in days (rounded)
set ABgn to round ((current date) - (date Bgn)) / 86400

# date for search to end
set dNe to "2-dec-14"

# time from end search to now in days (rounded)
set AdNe to round ((current date) - (date dNe)) / 86400

# Search Item
#set SearchItm to "With These Words in it's Name"
set SearchItm to "."

set theFiles to (do shell script "mdfind -onlyin " & ppath & " 'kMDItemDisplayName == \"*" & SearchItm & "*\"&& kMDItemContentModificationDate >= $time.today(-" & ABgn & ") && kMDItemContentModificationDate <= $time.today(-" & AdNe & ")'")