That's not what it says. It says that the FP and the AC are tossed into the LoF at the end of the Tribulation.
And then the text makes it sound like Satan joins them in the LoF just before the Final Judgment. If you read it, I think you will agree with me. Not that it matters a great deal. But I don't think it is possible for any being to come back from the LoF. Another name for the "place of punishment" part of Hades is the Abyss and we know that Satan will be loosed from there at the end of the Millennial Kingdom. Jews of Jesus' day were well aware of the difference between the LoF and "the place of punishment" in Hades, which, according to their theology, had a gate at the bottom (there were various levels of punishment) which led out to the road which ended at the LoF. This is the way that Jesus depicts the account of "the other Lazarus" from Luke 16.
At the second coming Satan is chained in the pit for 1000 years.
But the AC and the false prophet are thrown into hell at the second coming
Hell is described very similarly to the lake of fire.
Revelation 19:20 New International Version (NIV)
20 But the beast was captured, and with it the false prophet who had performed the signs on its behalf. With these signs he had deluded those who had received the mark of the beast and worshiped its image. The two of them were thrown alive into the fiery lake of burning sulfur.
At the end of time Satan is also thrown into hell.
Then at the white throne judgment Hell and death are thrown into the lake of fire.
Remember, hell contains the fallen angels already. Satan and the demons will join them.
Hell ceases at that time in the lake of fire is eternal.
Nothing in the Bible indicates the lake of fire exists before the end of the world.
Revelation 20:7-15 New International Version (NIV)
The Judgment of Satan
7 When the thousand years are over, Satan will be released from his prison 8 and will go out to deceive the nations in the four corners of the earth—Gog and Magog—and to gather them for battle. In number they are like the sand on the seashore. 9 They marched across the breadth of the earth and surrounded the camp of God’s people, the city he loves. But fire came down from heaven and devoured them. 10 And the devil, who deceived them, was thrown into the lake of burning sulfur, where the beast and the false prophet had been thrown. They will be tormented day and night for ever and ever.
The Judgment of the Dead
11 Then I saw a great white throne and him who was seated on it. The earth and the heavens fled from his presence, and there was no place for them. 12 And I saw the dead, great and small, standing before the throne, and books were opened. Another book was opened, which is the book of life. The dead were judged according to what they had done as recorded in the books. 13 The sea gave up the dead that were in it, and death and Hades gave up the dead that were in them, and each person was judged according to what they had done. 14 Then death and Hades were thrown into the lake of fire. The lake of fire is the second death. 15 Anyone whose name was not found written in the book of life was thrown into the lake of fire.