"夸张地表现感情" can be translated into English as "exaggerate one's emotions" or "overplay one's feelings".
"Exaggerate one's emotions" emphasizes the act of presenting emotions in an overly magnified or dramatic way.
"Overplay one's feelings" conveys a similar meaning, suggesting that someone is going beyond the normal or appropriate level in expressing their emotions.
Both expressions are commonly used in English to describe situations where someone displays their feelings in an exaggerated manner.