I am little bit confused with your if condiction,here is the code I changed,

our $cookingcounter = 350883;
our $garlicbreadheadstart = 600;
our $ovenempty = 0;

my $holdtime = 0;
    if ( (!$ovenempty || $true) && ( 0 <= ( $holdtime = $cookingcounte
+r + 60 * 90 - 356400) || 0 <= ($holdtime = $cookingcounter + ($garlic
+breadheadstart -60 * ( 60 + 15 )) - 356400) )
      ) {
        die sprintf 'Main Dish or Appetizer Cooking: %d, hold for %s',
          $cookingcounter,
          $holdtime;
    }
   else
   {
          printf 'Main Dish or Appetizer Cooking: %d, hold for %s',$co
+okingcounter,$holdtime;
   }
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In if condition I have grouped (!$overempty || $true) Of course you did not tell us the $true variable value, and added else{} part. I think else part prints what you expect.