Actually I have that book, and it's a good one - gives you a great sense of the whole picture of an ecosystem at any given time, and how the different groups evolved together. It's also a decent starting point for learning the evolutionary tree. Unfortunately most of the art is ugly CGI and some of the reconstructions are outdated, but I'd definitely recommend it.
It's a huge book, by the way, over 500 pages. All of them lavishly presented.
Anyway, regarding terror birds and thylacines. The book has a very broad remit, and delivers a brief passage and illustration for significant members of most major groups of lifeforms (including plants and invertebrates) going all the way back. So... terror birds aren't covered, but moas and elephant birds are; Tasmanian tigers aren't (along with most Cenozoic marsupials and monotremes, for some reason) but Thylacosmilus is.
Generally speaking, if you're looking for detailed information on any specific animal, this is not the book for you. It's more of a general history of life on Earth, and in that respect it's pretty damn thorough.