The term 'battered fruit' generally refers to fruits that have been damaged or bruised due to rough handling. Synonyms for this phrase could include 'bruised fruit', 'damaged fruit', 'scuffed fruit', 'dented fruit' or even 'broken fruit'. These alternative expressions can be used to describe various stages of fruit damage depending on the extent of the battering. For instance, 'bruised fruit' could imply a certain degree of external injury, while 'broken fruit' typically describes a more severe state of damage. Regardless of the term used, it's important to handle fruits with care in order to minimize the risk of them becoming battered.