Thing is with worrying, like a lot of unwanted behaviours in a dog, is that it is self-fulfilling. Dog performs the action of it's own volition, and is rewarded by the result. Such a reward induces more of the same, a self-fulfilling cycle.
Most of the common so-called cures focus on before the act, such as tying him up with a stroppy ram, or after he has developed a habit, trying to break the self-fulfillment with an e-collar - both have severe holes in the theory. The best option would be to do as stated above is to control your dog. Since you aren't sure of this dogs history, being his third owner that you are aware of, and since you are not able to stop your dog in the act with a stop whistle, your best option is to simply never trust him, have him tied out whenever he is in the proximity of stock.
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