Have the rucksack open on the bottom screen. Not only have the brush and glove equipped, but the slot in your rucksack immediately next to the equipped tool space should be either the milker or the shears. When you have a sheep ready to be shorn or a cow ready to be milked, wash with the brush and touch glove BEFORE milking or shearing, and before petting.

Now wash your animal. When done, use your STYLUS to hit the BACK key. With your stylus, quickly move the milker or shears to the equipped spot. 7 out of 10 times I have done this, there is now either wool or milk in my hands, and then I have still been allowed to shear my sheep or milk my cow and get double product from the animal for that day.