The Deep Brown and Deep Red Dye Module can earned through the Bounty Week Event. Unlike other Reputation dyes which require that you have reached a certain rank, the Deep Brown and Deep Red Dye Module schematic can be purchsed with 50 Completed Bounty Contracts. Bounty Contracts are earned by completing Bounty quests during the Bounty Week Event, and can also be bought on the GTN. The schematic, once learned, allows you to craft Deep Brown and Deep Red Dye Modules with Artifice level 500. If you do not have 50 Completed Bounty Contracts, or do not have the Artifice crew skill, you can buy this dye from the GTN from other players.
When you use the Deep Brown and Deep Red Dye Module, it will dye the primary dye section of your armor Deep Brown, and the secondary part of your armor Deep Red.
All dye modules are one-use, so once you've added a Deep Brown and Deep Red Dye Module to your armor, you will not be able to remove it and reuse it later.