You could conceal the wiring by matching it: paint the inside back of the cabinet black. Then be sure all cables are black or are enclosed in a black channel. That actually will increase the contrast of the picture some as you won't have a brown frame going around the TV.
A good answer is easier with a clear question giving the make and model of everything. "The biggest problem in communication is the illusion that it has taken place." -- G. “Bernie” Shaw