If you can't get something mechanical, like the spiral unblocker, to work, it's there aren't many choices:
1. Stronger chemical unblockers; many of these are now pretty useless in the name of 'health & safety' but caustic soda will shift most organic material blockages. It's just that it's dangerous stuff and you need eye & skin protection and still take a lot of care. (That horizontal entrance to the drain isn't good in this respect. A 90 degree bend plus 30cm of vertical would help.) Caustic soda needs some time to dissolve grease/vegetable matter. It can be problematic if the blockage allows some leakage, as the caustic soda solution keeps leaking away. You need a lot of caustic soda that way. (Be especially careful if you use dry caustic soda pellets. Just adding these to water can cause the water to boil, spraying hot caustic soda solution back up the pipe, almost explosively. If you must use pellets, use very small amounts at a time.)
2. A Karcher pressure solution which seals the entrance to the drain so that the pressure can act on the blockage & not just spray back.
3. Your friendly local 'fontanero'.