OK. There is some confusion here.
Archbishop Demetrios (Traketellis) is head of the Greek Orthodox Archdiocese under the Ecumenical Patriarchate.
Metropolitan Demetrius (Kiriacou) is Metropolitan of America for the Old Calendarist Greeks not affiliated with what some of us call 'canonical' Orthodoxy and members of that group call 'world' Orthodoxy.
Which one are we talking about. The first Bishop is elderly, the other Bishop is about forty years old.
We are NOT talking about the Archbishop of the GOA.
the only affiliation is that the jurisdiction of Bp. Demetrios does give communion to the faithful of Abp. Demetrios of the GOA
No, we do not give communion to New Calendarists, although the founder of St. Markella's, Metropolitan Petros of Astoria, did. This practice was phased out as the division between the Old and New Calendar Churches became more pronounced, Ecumenism increased, and the general level of knowledge of the Greek people in Astoria increased to the point that Metropolitan Petros's approach no longer bore the fruit it used to, in terms of bringing people into the Old Calendar Church. The practices of Metropolitan Petros are described in my book, Metropolitan Petros of Astoria: A Microcosm of the Old Calendar Movement in America
(available for the low price of 7.99 print/4.99 eBook, please consider purchasing to help me support my family!!), and I address the charge that his successor, Metropolitan Pavlos, willy-nilly continued the practice (which is not true) in a response I made to the troublemaking soi-disant Archbishop Gregory of Colorado:
In part as a result of the interview, the GOC Synod made certain demands of Fr. Pavlos, should he be ordained a bishop, such as that he stop communing New Calendarists at St. Markella’s Cathedral and reiterate his Orthodox confession of faith, which he did. He made several good faith efforts to stop the communing of New Calendarists at St. Markella’s, such as promulgating a 2002 Encyclical which forbade the practice.
There were some serious pastoral concerns, however, which mitigated a vocal and public approach at St. Markella’s. The preferred approach at the cathedral was to address these concerns in private. There were also some people who continued to slip through the cracks here and there, but what is clear is that these were exceptions in some cases and mistakes in others (such as when people misrepresented themselves, and were not properly investigated by the clergy beforehand). Metropolitan Pavlos retired in 2013, at any rate, and his successor Metropolitan Demetrius has made it clear that any vestigial exceptions to policy occurring at the cathedral should and must cease. At his enthronement in May 2014, a clear message was read before Holy Communion that to approach, one must be a member of the Holy Synod of Archbishop Kallinikos, or one of our sister Churches.
Source: "A Response to Some Distortions by Archbishop Gregory Concerning the GOC
I hope this clears things up.