This is correctly pronounced, though the intonation is a bit weird at the end.
k is pronounced as an Voiceless alveolo-palatal sibilant (click for sound)
It sounds like "Hunden äter kött". Only once I knew the answer and listened very closely, was I able to discern a very slight, almost nonexistent 'r' in the fast version. The slow version sounds like "Hundena äter kött", without any discernible 'r' even when listening closely. How would a Swedish native speaker pronounce this?
Swedish generally uses the same rules as English. In this case, kött - like "meat" - is a mass noun, so you don't use the article.
There are some idiomatic differences, but the only major exception is that Swedish doesn't use articles for being things like professions.