直接翻成He persuaded their dad out of drinking.
沒有必要加succeed in因為persuade意思是：成功說服,當中已經(jīng)包含了“成功”這層含義,如：
The salesman persuaded us to buy his product.
那個推銷員成功說服了我們買他的產(chǎn)品.
此外,這句話還可以有一下幾種表達方式：
①He persuaded their dad to quit drinking.
②He talked their dad out of drinking.
talk sb into doing/talk sb out of doing 這兩種表達也表示說服某人做（不做）某事