sendmail with gmail urgent

I am a new bie in linux,i want use sendmail which relay on gmail to sendmail i.e i want use sendmail via gmail i did some changes following

http://www.phinesolutions.com/sendma…lay-howto.html

but am getting
May 20 18:26:13 sparrow sendmail[7156]: o4KCuD1R007156: from=<root@sparrow>, size=265, class=0, nrcpts=1, msgid=<201005201256.o4KCuA3R007155@sparrow>, proto=ESMTP, daemon=MTA, relay=vividata.co.in [127.0.0.1]
May 20 18:26:13 sparrow sendmail[7155]: o4KCuA3R007155: to=vinay.sb20@gmail.com, ctladdr=root (0/0), delay=00:00:03, xdelay=00:00:00, mailer=relay, pri=30006, relay=[127.0.0.1] [127.0.0.1], dsn=2.0.0, stat=Sent (o4KCuD1R007156 Message accepted for delivery)
May 20 18:26:16 sparrow sendmail[7158]: STARTTLS=client, relay=smtp.gmail.com, version=TLSv1/SSLv3, verify=FAIL, cipher=RC4-MD5, bits=128/128
May 20 18:26:17 sparrow sendmail[7158]: AUTH=client, relay=smtp.gmail.com [74.125.53.109], authinfo failed
May 20 18:26:17 sparrow sendmail[7158]: o4KCuD1R007156: to=<vinay.sb20@gmail.com>, ctladdr=<root@sparrow> (0/0), delay=00:00:04, xdelay=00:00:04, mailer=relay, pri=120265, relay=smtp.gmail.com [74.125.53.109], dsn=5.0.0, stat=Service unavailable
May 20 18:26:17 sparrow sendmail[7158]: o4KCuD1R007156: o4KCuH1Q007158: DSN: Service unavailable
May 20 18:26:17 sparrow sendmail[7158]: o4KCuH1Q007158: to=<root@sparrow>, delay=00:00:00, xdelay=00:00:00, mailer=local, pri=31555, dsn=2.0.0, stat=Sent

error

i dont have a domain mine i like a machine in a home which has net facility i dont have any domain registration or so
can i really configure sendmail to use gmail please help