Coral Island

Just to be clear because of imprecise language, you must ship ANY combination of animal products adding up to a quantity of 1000. I saved a lot of my ranch stuff to be sure, and it was a mix of basically every kind except for truffles. Cheev popped for me after I shipped over 1000 ranch junk on one day, it was 316k worth. My recommendation would be after you have enough other ranching stuff going for the other achievements, add another 1 or 2 barns and upgrade them to two and pack them with cows. Unless you wait patiently till year 3 cows are the way to go as they produce daily and i find them more reliable givers than chickens.
Make sure you have auto petters and are putting down grass in the non-winter months so your cow factory is as hands off as possible, barring having silos and auto feeders.
Cows after they become friendly will produce at least 1 milk a day, more if your perk procs. So if you have a mere 8 cows you only need 125 straight days of milk production maximum to complete this cheev so start early.

TLDR Raise cows, ship milk. Yes it is 1000 units, yes it can be any combination of ranch products.