Derek is technically correct that the highest level of CO2 does correspond to the most forested time period but he's getting cause and effect wrong. The high CO2 caused the forests; it's not hat the forests were there and the CO2 still happened, the CO2 was first and caused the forests to be able to grow to a massive extent. Same thing WOULD happen today but humans are still cutting down all those trees and not allowing them to spread as they otherwise would. And we've selected for trees less diverse and not as big as they would have had in those earlier geologic timespans.
The Great Plains would have had more scattered forests than they did IOTL, but it wouldn't be one huge forested area like the east or northwestern US coasts. A lot of it was the result of human management, human caused forest fires, and the intentional making the environment good for buffalo (actually bison, not a buffalo).
What I'm curious about, and haven't done research on is- would OTL extinct large mammals bigger than a bison, have survived in an ATL without humans in the New World? Would we have had mammoth and mastadon, and maybe in certain places of North America like the Great Plains or Great Basin or the pampas of Argentina a decendent from them that paralleled the evolution of Africa's elephants? Anyone know? I'll start researching.