What is the production order of digimon? What is the production order of the digimon anime? I've seen season 1 with Tai and Augumon and season 2 with Davis and Veemon. But what's the proper order to continue?
The Production Release Order is as follows (these are the Japanese Air Dates):


Digimon Adventure - March 7, 1999 to March 26, 2000 [Series]


Digimon Adventure Movie (Part one of Digimon: The Movie) - March 6, 19991 [Movie]
Digimon Adventure: Our War Game (Part two of Digimon: The Movie) - March 4, 20001 [Movie]

Digimon Adventure 02 - April 2, 2000, and March 25, 2001 [Series]


Digimon Adventure 02: Digimon Hurricane Jōriku / Chōzetsu Shinka!! Ōgon no Digimental (Part three of Digimon: The Movie) - July 8, 2000 [Movie]
Digimon Adventure 3D: Digimon Grandprix! - July 20, 20002 [OVA]
Digimon Adventure 02: Revenge of Diaboromon - March 3, 2001 [Movie]

Digimon Tamers - April 1, 2001 to March 31, 2002 [Series]


Digimon Tamers: Battle of Adventurers - July 14, 2001 [Movie]
Digimon Tamers: Runaway Locomon - March 2, 2002 [Movie]

Digimon Frontier - April 7, 2002 to March 30, 2003 [Series]


Digimon Frontier: Island of Lost Digimon - July 20, 2002 [Movie]

Digital Monster X-Evolution - January 3, 2005 [Movie]
Digimon Savers (Digimon Data Squad) - April 2, 2006 to March 25, 2007 [Series]


Digimon Savers 3D: The Digital World in Imminent Danger! - July 8, 2006 2 [OVA]
Digimon Savers: Ultimate Power! Activate Burst Mode!! -  December 9, 2006 [Movie]

Digimon Xros Wars (Digimon Fusion) - July 6, 2010 to March 21, 2012 [Series]
Digimon Adventure tri. [Movie Series]


Episode 1 - November 21, 2015
Episode 2 - March 12, 2016
Episode 3 - September 24, 2016
Episode 4 - February 25, 2017
Episode 5 - TBA
Episode 6 - TBA

Digimon Universe: Appli Monsters - October 1, 2016 - Ongoing [Series]


Main Source - Digimon on Wikipedia

i would think that Digimon Adventure Tri is expected to be watched together however only half of the series was released before Digimon Universe. plot wise Digimon Universe is set in 2045 while Digimon Adventure Tri is set 3 years after Digimon Adventure 02 which itself is set 3 years after Digimon Adventure. Digimon Adventure was set in 1999 so this means Digimon Adventure Tri is set somewhere in 2005. 

this year might be off depending on how much time passed in the previous 2 seasons but even then Digimon Adventure Tri's plot is set a few decades before Digimon Universe



1: these 3 movies were later released in the US as Digimon: The Movie on October 6, 2000

2: this was the first date it aired however as wikipedia says it was later included on a bonus disc in the Digimon THE MOVIES Blu-ray 1999-2006 compilation, released on January 9, 2015