This is salt Cedar.
This is eastern Red Cedar
Salt Cedars grow all over the western US, mostly in dry climate, and usually close to water. The Red cedar pictured is in Eastern Oklahoma, and they are very prolific in this area.
I don't know which of the trees the pet bedding comes from, but would say either Eastern or Western Red Cedars.
Or, as Brimstone says they are called Southern Red Cedars in Florida. Buck