Question About English Dubbing

Hi! Does anyone have an answer to how the English dubbing of the Japanese commentators somehow has English puns included? I adore how natural these translations feel and always wondered how they make the jokes - are the translators adding it themselves or are the commentators actually making those puns in English.
Example would be I was just watching the Rice battle and he made ice cream and one of he commentators said "scratch that, it's RICE cream"