Zechariah son of Jehoiada
1He was of Jerusalem, the son of Jehoiada the priest, the prophet whom Joash king of Judah slew beside the altar, whose blood the house of David shed within the sanctuary, in the court. The priests buried him beside his father.
2From that time on there were portentous appearances in the temple, and the priests could see no vision of angels of God, nor give forth oracles from the inner sanctuary; nor were they able to inquire with the ephod, nor to give answer to the people by Urim and Thummim, as in former time.
Here's my understanding of this passage after thinking about it some...
The writer is particularly interested with the impact upon temple worship for these events. Joash defiled the temple by martyring the prophet in it. From that time forward until the destruction of the temple in 586 BC, (some 200+ years after the martyrdom), the priests in the temple were unable to operate in the prophetic. As it says, "From that time on there were portentous appearances in the temple, and the priests could see no vision of angels of God, nor give forth oracles from the inner sanctuary; nor were they able to inquire with the ephod, nor to give answer to the people by Urim and Thummim, as in former time."
The passage cannot in any way be construed to apply to the temple which had been standing in Jesus' day. The author of The Lives of the Prophets, would in any case have been aware the priests during the period of 2nd-Temple Judaism had operated from time-to-time in the prophetic.
The passage cannot in any way be construed to apply to the termination of a "time of the Prophets", since there were prophets, both writing (Isaiah, Ezekiel, Jeremiah) and not (Huldah) who came after the martyrdom of Zechariah.