Green and Pink EQs are rare Items.
I've only gotten green items in 2 ways:
1. From my armor/Wpn maker, they randomly make green/Blue items. Adding other items into the recipe sometimes increase the chance to making unique and rare Armors/Weapons.
2. Unidentified Items. They are normally blue, but occationally when you Id them green items appears.
Pink Items are normally Assasin Items, here's how you may obtain assasin Weapons and EQs:
1. Obtain assasin quest from constable at major towns at 8pm and 10pm
2. Killing the assasins and their companions MAY give you Assasination Badge
3. Identify the content of Badge at Xiang Yang (178/188) Zou Tian Xing
4. You may randomly obtain a treasure map or Flare
5. Use the flare to summon Assasin Boss
6. Kill the assasin boss and he will drop an assasin pack
Note that this pack is level related i.e. the higher your level the higher the item grade
7. Open the pack and obtain your assasin weapon or EQ (Pink!)