Nope, the clue's in the description. The one you linked to is a doughnut for a 1 1/2" flush valve outlet, there would be no adapter. The drop valve that @thereisawizza linked to has a 1 1/2" outlet with an extra part to the sealing washer that can then fit a 2" cistern.Think the fluidmaster one I have linked will fit 2inch and 1.5 inch via supplying 2 different sealing washers. That sound right?
If you need to find a tradesperson to get your job done, please try our local search below, or if you are doing it yourself you can find suppliers local to you.
Select the supplier or trade you require, enter your location to begin your search.
Are you a trade or supplier? You can create your listing free at DIYnot Local