I guess its similar to other techniques.
Like, how do shinobi physically move and mix their energies? They are simply connected to them. This time, its life force instead of energy.
While Naruto and Kurama exchange energy, they are still separate beings.
So their life forces are separate. Kurama simply swapped in his own life force in place of that of Naruto. I assume you were enquiring about Baryon Mode.