Thanks to the latest biotech, this 'sweet-potato shochu' has had its potato odor minimized and is remarkably easy to drink.

Literal

Latest [gen-の] biotechnology [through-によって], sweet-potato [gen-の] odor [obj-を] smallest-limit [to-に] suppress, very drink-easy-[attr-な] 'sweet-potato shochu' is.

Product marketing. バイオ技術 ('biotechnology') is a mix of loan (バイオ, short for バイオテクノロジー) and native 技術 ('technology'). 臭み ('smell, odor — usually pungent or off-putting') is the noun form of 臭い ('smelly'). 抑える ('to suppress, to hold down') is a set verb for controlling unwanted qualities. ~やすい ('easy to X') is the productive ease suffix. 芋焼酎 ('sweet-potato shōchū') is a traditional Japanese distilled spirit made from satsuma-imo.