There are a plethora of synonyms for the phrase "more generated," all of which can be used to convey the same idea using different words and phrases. Some common synonyms include "more produced," "further generated," "increased generated," "augmented generated," and "additional generated." Other synonyms could be "greater generated," "amplified generated," "heightened generated," or "enlarged generated." Depending on the context, these synonyms could be used to describe an increase in production or output, or to describe the generation of additional ideas or concepts. Regardless of which synonym is chosen, each has its own unique connotations and can be used to create different nuances in the underlying message.