In the third round of the Premier League ending today, Everton defeated Crystal Palace 2-1.
Since then, Everton has won five official matches in all competitions since the start of the season. They are:
Premier League first round
League Cup second round
Premier League second round
League Cup third round
Premier League third round
According to official Premier League data, this is also the first time Everton has achieved five consecutive victories in all competitions at the beginning of the season since 1938.