[ОлегА]

<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' ); ?>" />

jquery

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

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