I'd pass the session id in the redirect url: 
$self->redirect('admin.cgi?' . $self->session->name . '=' . $self->ses
+sion->id);

[download]

Another idea would be to make sure you have already sent the cookie with login.tmpl.

In reply to Re: CGI::Application redirect loses cookie by rhesa
in thread CGI::Application redirect loses cookie by bradcathey

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