In order to remain a US permanent resident, you need to remain a resident of the US. If you leave the US and take up legal residency in some other country (which you have) then you abandon your status in the US, unless you apply for a re-entry permit *before you leave* and if you are intending to be gone less than one year. As you neither applied for the re-entry permit, and you have been gone more than one year, your permanent resident status in the US is abandoned.
From the USCIS website:Maintaining Permanent Residence
Maintaining Permanent Residence You may lose your permanent residence status if you commit an act that makes you removable from the United States under the law in section 237 of the Immigration and Nationality Act. If you commit such an act, you may be brought before the immigration courts to determine your right to remain a Permanent Resident.
You may be found to have abandoned your permanent resident status if you:
Move to another country intending to live there permanently.
Remain outside of the US for more than one year without obtaining a reentry permit or returning resident visa. However in determining whether your status has been abandoned any length of absence from the US may be considered, even if it is less than one year.
Remain outside of the US for more than two years after issuance of a reentry permit without obtaining a returning resident visa. However in determining whether your status has been abandoned any length of absence from the US may be considered, even if it is less than one year.
Fail to file income tax returns while living outside of the US for any period.
Declare yourself a “nonimmigrant” on your tax returns.
(hopefully the tags work)