Why does broly hates Goku?

Answer 1

The reason for Broly's great dislike for Goku seems to stem partly from an immature childish grudge; when they were babies, they were on the same pod, and Goku continuously crying ruined Broly's sleep.

Broly was born in Age 737, during the period of intense turmoil between Frieza and the Saiyans. At birth, his most curious feature was his inordinate power level of 10,000. This anomaly meant that by birth, Broly's power had already been close to that of Bardock and King Vegeta at the time of their deaths (which coincidentally happens during the afternoon of Broly's birth). In the Saiyan delivery room where he rests afterward, Broly is grieved by the constant disruption of his literal 'crybaby' neighbor, Kakarot (later rechristened Goku). These neighboring babies are the butt of a joke by presiding doctors, who rave over Broly's power level but criticize his reaction to Kakarot's crying, while also criticizing Kakarot's then-measly power level of 2 while also stating that though he has a low power level, he has the spirit of a Saiyan. Kakarot's crying affected Broly's psychological state of mind, causing him to hold a subconscious grudge against him. The two infants would not meet again for almost three decades. Broly's exceptional gifts branded him as the first Legendary Super Saiyan in approximately 1000 years.

Answer 2

because they were born in the same day and even though broly its more powerful goku make him look like nothing as a baby since goku cry was more loud