Years ago the official programme that was issued by Liverpool and Everton was a double programme, one team would be playing a reserve match at home and the other a first team match at home. I doubt that we will ever see this phenomena reappear and these programmes remain very scarce as they were printed on brittle paper and need to be handled with care.
This programme covers the fixtures played by Everton and Liverpool on the 6th November 1909 which were:
Everton v Liverpool First Team
Liverpool v Accrington Stanley Reserves.