fcgi-cgi is a FastCGI application to run normal cgi applications. It doesn't make CGI applications faster, but it allows you to run them on a different host and with different user permissions (without the need for suexec).
lighttpd2 won't have a mod_cgi, so you need this FastCGI wrapper to be able to execute standard cgi applications like mailman and cgit.
Examples for spawning a fcg-cgi instance with daemontools or runit:
#!/bin/sh # run script exec spawn-fcgi -n -s /var/run/fastcgi-cgi.sock -u www-default -U www-data -- /usr/bin/fcgi-cgi
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