没有suggest to do 这种形式。
的确，suggest 后面 可以跟to，但to 这时是介词，后面要跟宾语，具体用法是：suggest + 名词/代词+to +人。
如：We suggest the plan to him。另外就是suggest doing sth。表示“建议做某事”，如：He suggests going out for a walk。
Suggest用法小结
1、Suggest表示建议，用法如下：Suggest+ 名词/代词或suggest+名词/代词to+人，但不能说suggest sb sth ，即不能加双宾做宾语eg：We suggest him the plan （Χ）但We suggest the plan to him（√）
2、suggest+doing sth eg He suggested going out for a walk。
注意：suggest 不可以加不定式，所以上面的句子不可以这样写：He suggested to go out for a walk。（Χ）
3、suggest +（that ）+主语+（should） do+sth 其中的should 可以省略eg：He suggested that you should go there tomorrow。
=He suggested you go there tomorrow。
注意，不可以这样说：He suggested you to go there tomorrow。也就是说suggest不可以加不定式的复合结构。
4、it is suggested that +主语+（should ）do sth eg：It is suggested that the work （should） be finished at once
