Here we show a possibility of applying the ramped drive bunch train (RBT) technique to a two-channel coaxial dielectric wakefield accelerator (CDWA). For numerical research we study a 28 GHz structure with two nested alumina cylindrical shells having these diameters: outer shell, $\mathrm{OD}=28.1\text{ }\text{ }\mathrm{mm}$, $\mathrm{ID}=27\text{ }\text{ }\mathrm{mm}$; inner shell, $\mathrm{OD}=6.35\text{ }\text{ }\mathrm{mm}$, $\mathrm{ID}=4.0\text{ }\text{ }\mathrm{mm}$. The structure is to be excited by a train of four annular bunches having energy 14 MeV and axial rms length 1 mm; the total charge of bunches is 200 nC. In the case of equally charged drive bunches, spaced apart by the principal wakefield wavelength 10.67 mm, we obtained transformer ratio $T=3.4$. If the bunch charge is increasing as the ratio $1\ensuremath{\mathbin:}3\ensuremath{\mathbin:}5\ensuremath{\mathbin:}7$ and the bunches are spaced by one and one-half wavelengths, we obtained $T=3.8$. We found that if the charge ratios are $1.0\ensuremath{\mathbin:}2.4\ensuremath{\mathbin:}3.5\ensuremath{\mathbin:}5.0$ and the spaces between the bunches are 2.5, 2.5, and 4.5 wakefield periods, then $T$ increases strongly, $T\ensuremath{\sim}20$. The RBT also can be used successfully in a high gradient THz CDWA structure. A particle-in-cell simulation shows that the four drive bunches can move without appreciable distortion.