"He does not like the cousins."
Translation:ʻAʻole ʻo ia makemake i nā hoa hānau.
You may be misremembering or have been given incorrect information. You may also be using the terms incorrectly. Many pronouns go between the verb and the object: E 'ai kākou i ka poi. Kākou is a pronoun between the verb ('ai) and the object (ka poi).
Since, in the sentence that you are commenting on, the pronoun is actually fit between the negative and the verb, I wonder if that is really what you meant. But as far as I can figure out, all pronouns have always gone between the negative and the verb.