Al-Haafidh Ibn Hajr Al-Asqalani (rahimahullah) said:“We have related in “Mahaamiliyaat” with a chain of narration that is hasan, from Jabyr ibn Nufayr who said:‘When the companions of Allah’s Messenger (sulAllahu alaihi wa salaam) met on the day of ‘eid, they would say to each other, ‘Taqaballahu minna wa minkum (may Allah accept from you and us ).” [Al Mahamiliyyat; hasan isnad; see Fath ul Bari 2:446]
Ibn Qudaamah mentioned in al-Mughnee (2/259) that Muhammad ibn Ziyad said: I was with Abu Umamah al Bahili (rahimahullah) and some other companions of the Prophet (sulAllahu alaihi wa salaam).When they returned from the eid, they said to each other, ‘Taqabbalallahu minna wa minkum (May Allaah accept it from you and us).”
Nothing wrong with Eid Mubarak, but what the sahabahs 
said is better practice