Liz shouted for everyone to leave the building and "Liz shouted for everyone to leave the building."
(Can you choose two?)
Number one isn't correct, because even if someone was saying Liz shouted for everyone to leave the building, the period should be inside the quotations, not outside, so that one's incorrect either way.
The next one, it should be Liz shouted for, "everyone to leave the building." So the comma is in the wrong place for that one.