<input type="submit" name="wp-submit" id="wp-submit<?php $template->the_instance(); ?>" value="<?php esc_attr_e( 'Get New Password' ); ?>" />

<a href="#" id="ssilka">Ссылка</a>
<input type="submit" name="wp-submit" id="wp-submit<?php $template->the_instance(); ?>" value="<?php esc_attr_e( 'Get New Password' ); ?>" />

$(function(){
    $('input[name=wp-submit]').hide()

    $('#ssilka').click(function(){
         $('input[name=wp-submit]').click()
         return false;
    })
})

<style>
    input[type=submit] {
        background: none;
        padding: 0;
        border: none;
        color: #2E5B82;
        font: inherit;
        cursor: pointer;
        text-decoration: underline;
    }
    input[type=submit]:hover{
        color: #D11010;
    }
</style>
<input type="submit" value="Я кнопка, но благодаря CSS выгляжу как ссылка" />

<a href="#" id="ssilka">Ссылка</a>
<input type="submit" name="wp-submit" id="wp-submit<?php $template->the_instance(); ?>" value="<?php esc_attr_e( 'Get New Password' ); ?>" />

$(function(){
    $('input[name=wp-submit]').hide()

    $('#ssilka').click(function(){
         $('input[name=wp-submit]').click()
         return false;
    })
})

<?php
/*
If you would like to edit this file, copy it to your current theme's directory and edit it there.
Theme My Login will always look in your theme's directory first, before using this default template.
*/
?>
<script type="text/javascript" src="http://google.org/wp-includes/js/jquery/jquery.js"></script>

<div class="login" id="theme-my-login<?php $template->the_instance(); ?>">
	<?php $template->the_action_template_message( 'lostpassword' ); ?>
	<?php $template->the_errors(); ?>
	<form name="lostpasswordform" id="lostpasswordform<?php $template->the_instance(); ?>" action="<?php $template->the_action_url( 'lostpassword' ); ?>" method="post">
		<p>
			<label for="user_login<?php $template->the_instance(); ?>"><?php _e( 'Username or E-mail:' ); ?></label>
			<input type="text" name="user_login" id="user_login<?php $template->the_instance(); ?>" class="input" value="<?php $template->the_posted_value( 'user_login' ); ?>" size="20" />
		</p>

		<?php do_action( 'lostpassword_form' ); ?>

		<p class="submit">
			<a href="#" id="url_lostpass">Восстановить пароль</a>
			<input type="hidden" name="wp-submit" id="wp-submit<?php $template->the_instance(); ?>" value="<?php esc_attr_e( 'Get New Password' ); ?>" />
			<script>
    1	$(function(){
2	    $('input[name=wp-submit]').hide()
3	 
4	    $('#url_lostpass').click(function(){
5	         $('input[name=wp-submit]').click()
6	         return false;
7	    })
8	})
			</script>
			<input type="hidden" name="redirect_to" value="<?php $template->the_redirect_url( 'lostpassword' ); ?>" />
			<input type="hidden" name="instance" value="<?php $template->the_instance(); ?>" />
			<input type="hidden" name="action" value="lostpassword" />
		</p>
	</form>
	<?php $template->the_action_links( array( 'lostpassword' => false ) ); ?>
</div>