Heritage of the Lightforged

To obtain this armour, you have to hand in a quest once you turn 110, it says to go on the vindicar, you do so by taking a lightforged beacon near the stormwind embassy, where your adventure started.

You will still receive the Heritage Armor for your Allied Race if you use heirlooms to level them to 110.
The only things that disqualify you from obtaining the Heritage Armor are:

• Using a Character Boost
• 
  
• Performing a Race Change
• 
  
• Granting levels from Recruit A Friend

Source: https://twitter.com/WarcraftDevs/status/958849351417176064

If you level a [race=30] (Allied Race) from 20 to 110 without any kind of levelboost (heirlooms are allowed: Blue Twitter), you will gain Heritage of the Lightforged and the cosmetic set below, exclusive transmoggable for [race=30]:

1. 
   
2. Head: [item=156699]
3. 
   
4. Shoulder: [item=156700]
5. 
   
6. Chest: [item=156701]
7. 
   
8. Wrist: [item=156706]
9. 
   
10. Hands: [item=156702]
11. 
    
12. Waist: [item=156703]
13. 
    
14. Legs: [item=156704]
15. 
    
16. Feet: [item=156705]
17. 
    

In 3D: Click
Outfit: [outfit=103139]

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All four achievements and their sets:
[race=30] (Alliance): Heritage of the Lightforged, Lightforged Draenei-Set: Male - Female
[race=29] (Alliance): Heritage of the Void, Void Elf-Set: Male - Female
[race=27] (Horde): Heritage of the Nightborne, Nightborne-Set: Male - Female
[race=28] (Horde): Heritage of Highmountain, Highmountain-Set: Male - Female