The transformer you have will work fine with the open sprinkler. The link you provded shows that one output is 24Vac 22.5 VA .93 amp, which is perfect. If you use the “0” (black) wire, and the “24” (red) wire you will be all set. Make sure you disconnect, and/or insulate the “15” (white) wire so it does not accidentally touch anything it shouldn’t. It does not matter which order you wire the power connector to the opensprinkler, as it is AC.
Hope that is of some help.