Using OR and command substitution

The following开发者_如何学运维 command works as expected...

tail /var/log/mysqld.log | grep `date '+%y%m%d' --date='1 day ago'`

But this does not...

tail /var/log/mysqld.log | grep (`date '+%y%m%d' --date='1 day ago'` | `date '+%y%m%d'`)

I want to return the lines having yesterday OR today.

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tail /var/log/mysqld.log | grep -e `date '+%y%m%d' --date='1 day ago'` -e `date '+%y%m%d'`