Like others have said, all the Audi A2 models (including the 1.2TDI) use the same top mount. So if the Sport models have lower front suspension (I haven't confirmed this, but maybe others have and it seems likely because the Sport models have thinner front rubber buffers) then I suspect the front shock absorbers are shorter on the Sport models...or in some way cause the lowering of the front ride height.
Non-Sport models have the following OEM part numbers for the front shock absorbers
8Z0413031AB
8Z0413031AD
Sport models have the following OEM part numbers for the front shock absorbers
8Z0413031P
8Z0413031AC
Bilstein list front shock absorbers with part number 22-105813 for non-Sport models and 22-196309 for Sport models. I haven't confirmed whether the 22-196309 model will drop the front ride height or not, or whether it closely matches the 8Z0413031P and 8Z0413031AC OEM part numbers.
One owner said that they removed original front springs from their 1.4TDI with OEM part number 6Q0411105AD and this isn't a short spring. I don't know if their 1.4TDI had OSS or not, but in any case any lower ride height of the Sport models is therefore not down to them using shorter springs.
Therefore, I suspect the lowering of the front ride height on Sport models (if it is indeed lower) is down to the front shock absorbers causing the lowering. This is unusual for VAG cars, because normally VAG (on non-Audi A2 cars) uses shorter front springs to cause the lower ride height, not the front shock absorbers.
Perhaps the only way to find out for sure is to compare (8Z0413031AB or 8Z0413031AD) with (8Z0413031P or 8Z0413031AC) side by side.
Or perhaps compare Bilstein B4 22-105813 (for non-Sport models) and with Bilstein B4 22-196309 (for Sport models) side by side...but with these two Bilstein front shock absorbers being aftermarket they might not be a very close match to the original Audi A2 front shock absorbers...although there is hope because Bilstein have gone to the trouble of listing two different front shock absorbers for the non-Sport and Sport models.
Bilstein are also selling their 22-196309 for the Fabia MK1 with sports suspension (ie. lowered ride height), therefore I doubt this front shock absorber would lower the front ride height on the Audi A2 because the Fabia MK1 tends to use shorter front springs to lower the ride height, ie. not shorter front shock absorbers. Perhaps the only advantage of using this front shock absorber on the Audi A2 is to get firmer damping...but that's not always an advantage, especially when the damping becomes too firm as that would simply slow the speed at which the front suspension can move up and down.