Scanning through your codes, there are several stuff, that is wrong.
Please,

use warnings;
use strict;
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to start with, then you will discovery that several of your codes didn't end with a ;.
You said you are using a glob function, but their is non in your code, so you only have the string "/export/home/date_file*.txt", in your array variable "@files".
Update:

I have array1 - @types that has these 2 letter strings(which I am supposed to check for in each file in each line, This variable is found in each line at 41st character.) and array2 - @counts where I am trying to store count if that match is found.

Instead of using two arrays, why don't you use a HASH, with the type of strings you would be looking for as the keys and initialized them to zero like so:

  my %type;
     @type{qw(AB AC AD AE FG)} = (0) x 5;
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##then you have something like this:
$VAR1 = {
          'AC' => 0,
          'AE' => 0,
          'FG' => 0,
          'AB' => 0,
          'AD' => 0
        };
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then later you can do... ^*

   while(...){
    ...
    $type{$_}++;  ## increasing the counting as you see needed string
    ...
  }
[download]

*NOTE:
I don't except the pseudo-code to work, since the OP didn't show any dataset.

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