in the same way是介词短语作方式状语，并不引导从句。as才引导从句，修饰the same way. as从句有省略，补全后为：as it is instructed by the government that they should do.(do 替代dispose of rubbish) 比较分句可以省略形式主语it 和真正主语从句that从句，得到 as is instructed by the government. 然后is可以进一步省略，得到 as is instructed by the government.