Structured adverbs are provided in this article. The words listed here are commonly found along with the verb structured in sentences. This reference page helps answer the question what are some adverbs that describe or modify the verb STRUCTURED.
carefully, clearly, currently, deliberately
differently, formally, generally, hierarchically
highly, largely, loosely, properly
rigidly, similarly, tightly, traditionally
typically, usually
Hope this word list had the structured adverb you were looking for. In addition to adverbs used with structured, other example verb adverb pairings can be found on this site.
You can help by adding more adverbs in the comments. Thanks.