Varying adverbs are provided in this article. The words listed here are commonly found along with the verb varying in sentences. This reference page helps answer the question what are some adverbs that describe or modify the verb VARYING.
considerably, constantly, continually, continuously, directly
endlessly, frequently, gradually, greatly, highly
indefinitely, infinitely, inversely, occasionally, periodically
perpetually, randomly, rapidly, simply, slightly
slowly, smoothly, spatially, systematically, uniformly
usually, widely, wildly
Hope this word list had the varying adverb you were looking for. In addition to adverbs used with varying, other example verb adverb pairings can be found on this site.
You can help by adding more adverbs in the comments. Thanks.