However fitted it for you and then tried to excuse his incompetence with the explanation doesn't understand how such things work.
You could try and get him back to put it right, or attempt it yourself using Tridymite's clear instructions. Some dual flush floats work a little differently to that described above - but the principle is always the same - you need to shift the float such that it is in higher position before it cuts the water supply.
You could PROVE to yourself that this is the problem (before attemting adjustment) by holding the float down as it refills, allowing the water level to rise higher. On flushing you should then get a decent flush volume.