回答如下：

以上为as作为从属连词引导方式状语从句倒装+（省略）结构

as were tobacco, hops, and turnips （as+谓语+主语倒装结构）

as were (grown 省略了）tobacco,hops ,and turnips

还原后为：as tobacco ,hops and turnips (were grown)

(as+主语+谓语陈述结构)

The book was banned in the US, as were two subsequent books.

这本书在美国遭禁，随后出版的两本也是一样。

句子语法结构分析如下：

分句1:The peasants specialized in livestock husbandry and dairy farming as well as in cultivating industrial crops and fodder crops

主语：The peasants （这些农民）

并列谓语1：specialized in （专门从事于）

并列宾语1：livestock husbandry and dairy farming（畜牧业和乳品业）

并列连词：as well as （不仅...而且；也，还）

并列谓语2：(specialized 被省略了) in （专门从事于）

并列宾语2: cultivating industrial crops and fodder crops.（种植经济作物和饲料作物）

分句2：flax, madder, and rape were grown, as were tobacco, hops, and turnips

主语：flax,madder ,and rape（亚麻、茜草和油菜）

谓语：were grown（被种植）

方式状语：as were tobacco, hops ,and turnips(像种植烟草，葎草和芜菁一样）

（方式状语还原后为：as tobacco, hops ,and turnips were grown）

【参考译文】这些农民专门从事畜牧业和乳品业，也种植经济作物和饲料作物：人们就像种植烟草、葎草和芜菁一样，种植亚麻、茜草和油菜。