Normalize causes all moves used by the Pokémon to become Normal-type, and attacking moves gain a 20% power increase.
Normal-type Pokémon also gain STAB from these moves, giving an effective increase of 80%.
The following moves are not affected by Normalize: Hidden Power, Judgment, Multi-Attack, Natural Gift, Revelation Dance, Struggle, Techno Blast, Weather Ball, and damaging Z-Moves.
The move Flying Press deals Normal/Flying type damage instead of Fighting/Flying. Freeze-Dry remains super-effective against Water-types but follows the Normal type chart against other types (e.g., neutral against Grass-types).
In Generations 4-6, Normalize did not increase damage (besides usual boosts like STAB). All moves listed above, except Struggle, are affected by Normalize.