He suggested that a double railway tunnel should be built. (New Concept English, Book 2, L. 64)
一本美国出版的托福教程认为 suggest that he should be/do 的用法是错误的。而必须改为 suggest that he be/do。这样看来，上面的句子是错误的了。
美国出版的 Barron's TOEFL 一书确实持有这种观点。但是,这是独尊美国英语、排斥英国英语的做法。事实上,suggest(insist, request, require) that he should do/he ought to do 的用法在英国是用得非常普遍的。而且美国作家也采用这种用法：
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Lester suggested to Jennie that they should go for a drive. (Dreiser) 莱斯特向珍妮建议他们开车出去兜兜风。
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He suggested that this state should be known as the “radiant”. 他建议把这种状态称为“辐射”状态。
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Carol suggested that I should have another apple. (CGEL) 卡罗尔建议我再吃一个苹果。
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Whatever the item is, I suggest you wrap it in your jacket as we move through the hallways. (Dan Brown, The Da Vinci Code) 不管那是什么, 我建议你们穿过通道时用夹克衫把它包起来。(《达·芬奇密码》)
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I had suggested that the leaders themselves should meet every year to discuss our common interests... (B. Clinton, My Life) 我建议领导人们应该每年开一次会，就我们的共同利益进行讨论……(《我的生活》)
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Dick Morris suggested that before I made a formal announcement I should go on television to acknowledge the mistakes that led to my defeat and ask for another chance. (B. Clinton, My Life) 迪克·莫里斯建议，我正式宣布参加竞选之前，要首先在电视上承认导致我上次失败的那些错误，请求选民们再给我一次机会。（《我的生活》）
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I suggested to John that he ought to sign up Hillary and our Yale classmates Mike Conway and Rufus Cormier. (B. Clinton, My Life) 我建议约翰雇用希拉里以及我们在耶鲁大学的同学迈克·康韦和鲁弗斯·科米尔。(《我的生活》)
(参见 should be/be, demand that)