You really must be more careful with your assumptions.
You say that carnivores must eat meat, and there was none.
How do you know that meat provisions were not kept on the Ark,
(assuming it existed)?
I am curious to know why you thought that no meat was
available. (especially after a flood which killed many,
many animals)
OK, the carnivores ate meat on the ark.
But what did they eat on their several thousand mile treks back home?
Remember there were only 2 of every animal left that they used to use for food. Now, what is the gestation period of a zebra or a wildebeast? Hint: Its a hell of a lot longer than the period that a lion can go without meat! Not that the zebra's or wildebeasts could even breed new food anyway, they were walking several thousands of miles home with no food after the flood wiped it out.
Are you really this ignorant?
You might check out what Purina is selling you as dog food (dog = carnivore) & toss that back at the debate as well.