[exim] prohibited anonymous senders

Hello,

today I accidentally noticed an smtp server, that blocks anonymous senders:

mail from: <>
501 Anonymous Senders Prohibited

Is it possible to configure this similar with exim? I guess there is no
actual reason to send emails without a sender. Even cronjobs are using
something like user@hostname. I guess this might catch a lot of spam,
wouldn't it?

Regards
Marten