How can I follow up on my pending DVT visa application from the Thai consulate in New York?

Should show pending, or additional document request on the online application page

My application took two days once I got the right documents to the consulate in Vancouver, then I applied for my wife, and that took one day, something is definitely wrong with your application, you can always phone them, at least the Consulate Vancouver accepts phone calls, and actually answers the phone and talks to you without any difficulty at all, one time they even called me, they have been so easy to deal with 

Make sure you clearly spelled Anonymous Participant.

how about you log IN to the online eVisa system and check the status on your pending application? usually can take UP TO 15 business days (that's no weekends OR holidays 😮 ) for them to update the status

They post 15 business days processing time on the New York thai consulate website

Took me exactly a month to get my dtv visa from new york

First clue is looking at there website. There you will find the time they need to process a visa.

Start there.