
I imagine you are referring to commercial foods Feeding you dog cat food shouldn't be a problem.Its feeding cats dog food that is more likely to cause issues in fairly short order due to lack of taurine.
Cats need taurine from their diet as unlike dogs they unable to produce taurine themselves within their bodies. Also cats shouldn't have carbs in spite of most manufactures including them as they are obligate carnivores and unable to process anything but meat to gain nutrients .
Dogs being facultative carnivores can eat both meat and carbs( veg ) Both cats and dogs need fat for energy although cats will safely have higher amounts of fat . With dogs higher amounts may cause pancreatitis for example
If you feed a raw diet the base guide is 80 muscle meat/10 bone/5 liver/5 other organ for both species but with cats you do have to make sure you choose meat that is high in taurine and can up the fatty meat if you wish more than with dogs. Protein is no different in either species
I feed my cat and dog both the same raw food and if I feed a premade which I don't always I add extra heart to make sure that taurine is covered