While Dogoo are an obvious reference to Slimes from Dragon Quest and the Giant Dogoo are an obvious reference to King Slimes, Red Dogoo have a slightly more interesting possible inspiration.

The Red Slimes, as they were known in Dragon Quest when the series was still being localized as Dragon Warrior, were made orange in Dragon Warrior VI, then renamed She-Slimes in Dragon Quest VIII alongside the franchise's localized name being changed.

This is most likely why Red Dogoo are pink and drop Orange Dogoo Jelly.