The ‘Mechs and vehicles of the Royal Brigade commonly wear paint schemes based on the requirement of their current assignment, though for parade and ceremonial purposes the Royal Brigade makes use of a blue, white and red striped scheme, the colors of the Davion family.

Per FM:Federated Suns, page 75

Other references:
Victor, FedCom Civil War (cover)


Insignia:

The Brigade’s insignia is a variation on the Federated Suns’ crest, with each RCT adding its own modifications. A pair of broken shackles set against a stylized version of the Brigade’s crest is the Second’s insignia. Per FM:Federated Suns, pages 75 and 80.