@Ivan *****
The “normal”route for this is:
***use a translation service which is recommended by the Bangkok located Embassy of your country
***get an appointment at your embassy and have the documents and the translation “legalized”
***visit a branch of the Ministry of Foreign Affairs and get them “co-legalized” (either main office in Bangkok and a legalization office in the 4th floor of the Central mall in Pattaya, or any of its subsidiaries in Ubon Ratchathani, Songkhla, Phuket and Chiang Mai)
*** for the main MfA office in Bangkok you need an appointment
*** with these “co-legalized” documents, you can get your marriage acknowledged and registered inside Thailand on your local Amphoe office