Sorted adverbs are provided in this article. The words listed here are commonly found along with the verb sorted in sentences. This reference page helps answer the question what are some adverbs that describe or modify the verb SORTED.
alphabetically, carefully
easily, finally
quickly, usually
Hope this word list had the sorted adverb you were looking for. In addition to adverbs used with sorted, other example verb adverb pairings can be found on this site.
You can help by adding more adverbs in the comments. Thanks.