Exhorted adverbs are provided in this article. The words listed here are commonly found along with the verb exhorted in sentences. This reference page helps answer the question what are some adverbs that describe or modify the verb EXHORTED.
constantly, continually
earnestly, fervently
frequently, repeatedly
strongly
Hope this word list had the exhorted adverb you were looking for. In addition to adverbs used with exhorted, other example verb adverb pairings can be found on this site.
You can help by adding more adverbs in the comments. Thanks.