All living beings are “food motivated” – otherwise they’d be dead. And dogs specifically are opportunistic scavengers, geared to eat whatever they find whenever they find it.
When we say that a dog is “not food motivated” it usually means that they won’t eat in certain contexts. That’s because *the behavior of eating* is influenced by learning, so it is more or less likely to occur in certain contexts. Just like it might be easier to ask your dog to “sit” at home than in the dog park.