The best guess is that it did not go well for Ukraine, but propaganda and disinformation are rife from both sides. From Moon of Alabama at moonofalabama.org:
The long announced Ukrainian counter offensive has started. New Ukrainian units, never seen before, have come to the front.
The attack was launched by Ukraine for political reasons under pressure from its ‘western’ sponsors. Militarily it is unlikely to become successful but it will eat away at whatever is left of Ukraine’s military capabilities.
Attacks happened all around the front. In the north towards Belgograd, to the east and, with the most forces, towards the south. There was so far little to no success in any of the attacks.
The daily report by the Russian Ministry of Defense list as Ukrainian losses over the last 24 hours 910 soldiers, 16 tanks, 33 armored combat vehicles/infantry fighting vehicle and some 30 trucks.
So far only the most forward positions of Russian troops have been attacked. There are two to three well organized defense lines behind those. The Russians can fall back whenever needed and let the artillery and air force destroy their oncoming enemies.