Okay, assume the same setup as I outlined above. Then in L5 put this formula:
=IF(AND(G5>=J$5)*(G5<=K$5),G5,"")
then copy this down as far as the list in column G (some should lacks)
In M5 put this formula:
=IF(L5="","",H5)
Then copy down as far as the list in column G.
This will provide only those that are between the specified dates, but it will leave some lines blank. If you want to hide rows, then that will depend on VBA.