There are a plethora of synonyms for the phrase "more has been"; a few great options include "further has been," "added has been," and "increased has been." Other potential synonyms might include phrases like "greater amounts have been," or "extra quantities have been," or even "additional progress has been made." Regardless of the synonym you choose, all of these options are great ways to communicate that there has been an increase or addition in quantity, quality, or progress of some kind. Using synonyms like these can help to keep your writing fresh and engaging, without sacrificing clarity or precision.