The Eastern Orthodox are in a state of heresy and schism.
The teaching of the one true Catholic Church is that the Spirit proceeds from the Father and the Son, but as from one principle, not a double procession.
from the Catechism
246 The Latin tradition of the Creed confesses that the Spirit “proceeds from the Father and the Son (filioque)”. the Council of Florence in 1438 explains: “The Holy Spirit is eternally from Father and Son; He has his nature and subsistence at once (simul) from the Father and the Son. He proceeds eternally from both as from one principle and through one spiration... And, since the Father has through generation given to the only-begotten Son everything that belongs to the Father, except being Father, the Son has also eternally from the Father, from whom he is eternally born, that the Holy Spirit proceeds from the Son.” 
247 The affirmation of the filioque does not appear in the Creed confessed in 381 at Constantinople. But Pope St. Leo I, following an ancient Latin and Alexandrian tradition, had already confessed it dogmatically in 447,  even before Rome, in 451 at the Council of Chalcedon, came to recognize and receive the Symbol of 381. the use of this formula in the Creed was gradually admitted into the Latin liturgy (between the eighth and eleventh centuries). the introduction of the filioque into the Niceno-Constantinopolitan Creed by the Latin liturgy constitutes moreover, even today, a point of disagreement with the Orthodox Churches.
248 At the outset the Eastern tradition expresses the Father's character as first origin of the Spirit. By confessing the Spirit as he “who proceeds from the Father”, it affirms that he comes from the Father through the Son.  The Western tradition expresses first the consubstantial communion between Father and Son, by saying that the Spirit proceeds from the Father and the Son (filioque). It says this, “legitimately and with good reason”,  for the eternal order of the divine persons in their consubstantial communion implies that the Father, as “the principle without principle”,  is the first origin of the Spirit, but also that as Father of the only Son, he is, with the Son, the single principle from which the Holy Spirit proceeds.  This legitimate complementarity, provided it does not become rigid, does not affect the identity of faith in the reality of the same mystery confessed.
Roman Catholic theologian