The author’s description of the first four feasts was correct, but explanation of the Feast of Trumpets was wrong. In fact, almost all Christian interpretation of the Feast of Trumpets is wrong. All of the seven feasts are applicable to National Israel. They have no direct reference to the Church. Most Christian scholars and teachers believe that the Feast of Trumpets is prophetic of the Rapture of the Church. However, how well intended they are, they are wrong. The Feast of Trumpets is prophetic of the National regathering of Israel to their homeland which occurred in 1948.
The Day of Atonement is the Feast that is prophetic of National Israel’s repentance and recognition of Jesus as their Messiah. As far as I can determine this will take place sometime during Daniel’s Seventieth Week. Probably in the second 3 ½ years when Anti-Christ begins to persecute both Jews and Christians. Maybe sometime after the sealing of the 144,000 Jewish witnesses in Rev. 7.