DB universe doesn't have 4 galaxies anymore. It was retconned. Broly was only shown destroying one.
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Again, I am ignoring the Daizenshuu altogether due to its contradictory nature. So all I know is that Broly destroyed a single galaxy called the South Galaxy. That's all I know. There is nothing mentioned in the show about only four galaxies or quadrants, so it doesn't matter to me.Also, South galaxy and south quadrant are the same thing. Unless you have some massive evidence to disprove this.