Complex sentence: They were nominated for the Best Couple award at the MBC Entertainment Awards in 2013, and Na-eun also received nominations for the New Female Variety Star award and the Star of the Year award, winning the latter one.
Split into simpler sentences: They were nominated for the Best Couple award on the MBC Entertainment Awards in 2013. She also received a nomination for the New Female Variety Star award and the Star of the Year award, winning the latter one.