I've used this product a few months ago. It's good stuff. Works great. As far as I remember, it'll kill off any parasites and you just need to dump it in the water.
The big bottle can be pricey, but if you get the smaller bottles, it's way cheaper and a little goes a long way. I bought a 1oz bottle and that was enough to treat my 120g.
To answer your question-it doesn't kill the eggs directly but it stays in the water for 10 days, which gives the eggs a chance to hatch and then be killed by the meds. That's what stops the tapeworm life cycle.