fun wrote:
紅豆 is called adzuki bean or adsuki bean in American English. In British English it's usually called aduki bean. These different spellings all came from Japanese. Adzuki and aduki just reflect two different styles of Japanese romanizations. The kana for it is あずき and the kanji (漢字) is 小豆. The scientific name for the adzuki bean is Phaseolus angularis.

綠豆 is called "mung bean" in English. The word mung is of Indian origin. The scientific name for the mung bean is Phaseolus aureus. It's also called green gram or golden gram.