Slice the pork tenderloins into 3 to 4" pieces. Place them in a large pot or dutch oven.
Cut the oranges into quarters, and squeeze the juice into the pot (yields about 1 cup of juice).
Add the spices, and enough chicken broth to just cover the meat.
Heat the liquids to a boil, then reduce to a simmer. Allow to simmer, leaving it untouched, for about 1 hour and 45 minutes.
Note: It will smell amazing, and you will be tempted to stir it.... but don't! Let the pot do all the work for you. Clean the kitchen, make a side dish, watch TV... just don't touch it for that hour & 45 minutes.
Once the time is up, you should be down to about an inch of liquid. Use a wooden spoon or spatula to break the pork up into small pieces. Stir the meat around until the liquid is all soaked up/evaporated. I leave my meat in a few extra minutes until it browns a little.
Squeeze fresh lime juice over the cooked meat, and add a little extra salt & pepper if you'd like.
Now you're done! Serve it hot or eat it cold leftover. Great over a taco salad, or wrapped in lettuce with salsa & avocado. & The more lime juice, the better!