olddate="200407010001"
newdat="200407312359"
touch -t $olddate ./tmpoldfile
touch -t $newdat ./tmpnewfile
find /path/to/directory -type f  -newer a ./tmpoldfile ! -newer  a ./tmpnewfile

@results = `find . -type f  -newer ./tmpoldfile ! -newer ./tmpnewfile`;

@results2 = `find . \\( -name *$h$i$b$c* -o -name *$h2$i2$b2$c2* \\)`;

My attempt at combining the 2, but I need to a not and expression, does that exist?
#@results3 = `find . -type f \\( \\( -newer ./tmpoldfile ! -newer ./tmpnewfile \\) -a \\( -name *$h$i$b$c* -o -name *$h2$i2$b2$c2* \\) \\) -ls`;



foreach $name (@results)
{

        if ($name =~ m/(^.*)([0-9][0-9])([0-9][0-9])([0-9][0-9])_([0-9][0-9])([0-9][0-9])([0-9][0-9])(.*$)/)

        {
                        $creation_date = "20$2/$3/$4";
                        $creation_time = "$5:$6:$7";
        }

        if ("$creation_date $creation_time" ge "$date $time" && "$creation_date $creation_time" le "$date2 $time2") {


        } else {
                push(@logfile, $name);
 }

}

        foreach $name (@results2)

 {
                if ($name =~ m/(^.*)([0-9][0-9])([0-9][0-9])([0-9][0-9])_([0-9][0-9])([0-9][0-9])([0-9][0-9])(.*$)/)

                {
                        $creation_date = "20$2/$3/$4";
                        $creation_time = "$5:$6:$7";
                }

        if ("$creation_date $creation_time" ge "$date $time" && "$creation_date $creation_time" le "$date2 $time2") {

                push(@logfile, $name);

        } else {


        }

Then I print and work with the results.