In Évora try the Encharcada (egg cake with almonds) from the Convent of Santa Clara, Pão de Rala (sweet brown bread), or Sericaia (traditional dessert with plums).
In Beja sample the Trouxas de Ovos (made from eggs and sugar), or Pastéis de Santa Clara.
In Beja sample the Trouxas de Ovos (made from eggs and sugar), or Pastéis de Santa Clara.