Cooked and not all meat, for several reasons.
1) Dogs are not wolves. Dogs are domestic animals and have significantly smaller teeth than their forebears. Throughout their time in domesticity they have predominantly eaten what we have - cooked food, and a mix of meat and vegetable matter. We have bred them to be easy to keep on food that is similar to ours. You are encouraged to explore some of the peer-reviewed publications on the matter.
2) Many canids - such as coyotes, jackals, and foxes - are omnivores, and various populations of Canis lupus have current or historical evidence of dietary diversity. See previous link. The dentition of modern dogs is closer to that of omnivorous coyotes than modern wolves.
3) Yes, they have molars. And premolars. They are shown quite nicely in the link you gave. They don't have grinding molars (like most herbivores do), but most non-primate omnivores don't have those. Feel free to examine the dentition of raccoons and brown or black bears for molars of omnivores who don't grind.
4) Wild animals are rarely as healthy as you'd like your domestic dog to be. They die of starvation, illness, exposure, and parasites. So even though wolves ate raw meat, they also didn't live as long as the average dog. In other news, please deworm your dog and have it vaccinated, even though it's "natural" to let it be infested with parasites or die of distemper.
5) Raw meat from a grocery store has a high likelihood of having surface contamination with Salmonella, E. coli, Campylobacter, and other fun pathogens responsible for food-borne illnesses. Dogs are not immune to these, and they can range from merely unpleasant to fatal. Freshly killed raw meat doesn't have the same level of surface contamination that grocery store meat does (industrial farming and meat packaging are different from fresh-killed whatever), but wild game is at higher risk for parasites. Feel free to disregard the cooked-meat warning if you hunt your own meat, feed it fresh, and have your dog on a monthly dewormer. They may still get Toxoplasmosis, flukes, tapeworms, or Salmon poisoning (if you are feeding raw salmon)... monthly dewormers rarely address flatworms, and they don't prevent protozoal infections.
6) Hyenas are not closely related to dogs, they are in Feliformia (the group is pretty much all carnivores or insectivores). Bears are closer to dogs (in Caniformia), however, and most are omnivores. Some of the Caniformes (like red pandas and giant pandas) are herbivorous.