You need explicit declare variables $var1 and $var2.

use warnings;
use strict;

 our ( $var1, $var2 ) = ( 0, 0 );
  printf "var1: %s\tvar2:%s\n", $var1, $var2;
  require "conf";
  printf "var1: %s\tvar2:%s\n", $var1, $var2;
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conf

 $var1='x';
 $var2='y';
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But usage of Config modules is best and more explicit to do config.

I like from Config::Simple...
But many others config modules are available from CPAN.

See Writeup Formatting Tips... you don't need to put <br> into <code> sections.