Thanks for your inputs, I have updated the relevant code .

perl -wc VPage.pm

VPage.pm syntax OK
[download]

VPage.pm file and using same Login.pm

package MyLib::VPage;
use strict;
use lib '/var/www/cgi-bin/WebApp/libs';
use base 'MyLib::Login';

sub cgiapp_init {
  my $self = shift;
  $self->SUPER::cgiapp_init;

  $self->authen->protected_runmodes(
    'myrunmode',
  );
}

sub myrunmode: StartRunmode {
  my $self = shift;
  my $template = $self->load_tmpl("myrunmode.html");

  ### guts of old vpage.cgi go in here
  print "Testing after login success"; # im doing lot of process with 
+CGI and perl script

  $template->param({
    OUPUT => $output,  # your output goes in here...
  });
  return $template->output;
}
1;
[download]

vpage.pl - file

#!/usr/bin/perl
use strict;
use lib '/var/www/cgi-bin/WebApp/libs';
use MyLib::VPage;

my $webapp = MyLib::VPage->new(
  PARAMS => {
    cfg_file => ['simple.ini', 'vpage.ini'],
    format => 'equal',
  },
);
$webapp->run();
[download]