I need to know what exactly are the objections of the Orthodox Church against the papacy of Rome so then I will get more clear picture.
That the Papacy is too authoritarian, that it's too centralized and it harms Church unity. And especially that it cannot claim to be "infallible" or the "Vicar of Christ".
It is the universal governing authority over other bishops and the church that developed in the West with which the Orthodox Church takes issue, and it was a development, even Roman Catholic historians report the Papacy's governing role over the church was an evolution. Rome's claim to being the "Magisterium," the centralized teaching authority, is disputed by the Orthodox Church likewise, as it considers each bishop to hold such authority within his diocese.
The Eastern Churches considered the Church of Rome and the see of St. Peter to be the most honored throne of the Church due to it being situated likewise in the capital of the Empire. It viewed his position as it viewed the Church of Constantinople in the East--after the early 4th century, as "the Elder See," the see responsible for coordinating affairs common to the Holy Churches, but not intruding into the internal affairs of the other Patriarchates, being also responsible to hear appeals from within the Holy Churches. While the title was never applied to the Bishop of Rome, the Pope was respected as essentially a "First Among Equals." The Orthodox Church wholly disputes Papal Infallibility, "infallibility" in Orthodoxy being of the Ecumenical Synods (Councils)--assemblies of the universal episcopate, once their proclamations are favorably received by the greater church and ratified by a subsequent Synod.
The Pope's 1014 addition of the notorious "que ex Patri Filioque procedit," "who proceeds from the Father and the Son" addition to the 8th Article of the Symbol of Faith as proclaimed in 381 by the 2nd Ecumenical Synod, is as much disputed by the Orthodox Church not just for its theological error--its variance from scripture, but for the audacious behavior of one bishop of the Church, the Pope of Rome, to attempt to supplement and change the work of an Ecumenical Synod, 633 years after the synodal proclamation no less.
The Orthodox Church further disagrees with all the "innovations" of the West since the tradition and practices of the early church, use of unleavened bread in the Eucharist, baptism by aspersion, the "Immaculate Conception" of the Virgin Mary, the dogmatic proclamation of her bodily Assumption into heaven, although Orthodox hymnology commemorates her ascension into heaven following her "Falling Asleep," her passing from this life; in Orthodoxy this is within the realm of a "Theological Opinion," not supported by scripture and not dogmatic. Any Papal proclamations of dogma are disputed by the Orthodox, as Orthodoxy maintains the tradition of the first millennium of that dogmatic teaching must be supported by scripture and proclaimed by an Ecumenical Synod.