  The color connection of the parton system is an important bridge to connect
the perturbative process and the hadronization one. The special color
connection of four-heavy-quark system in $e^+e^-$ annihilation, which is the
necessary one for the doubly heavy baryon and tetraquark productions is
revisited. The hadronization effects, investigated with the help of the Quark
Combination Model are compared with the corresponding results employing the
Lund String Model in our previous work. The global properties related to a
certain color connection are not sensitive to various hadronization models.
