We reported the growth of (AlGa)2O3 layers on (10-10) α-Al2O3 substrates using cold-wall metalorganic chemical vapor deposition, and the electrical characterization of Si-doped (AlGa)2O3 layers. In the Ga2O3 growth, the α phase was dominant at low growth temperature, achieving the growth rate of 2.4 μm/h at 650oC. Sheet resistance and electrical conductivity of the Ga2O3 layers with a Si concentration of 3×1020 cm-3 were 1×104 Ω/square and 8.3 S/cm, respectively, at the measurement temperature of 500oC. The Al composition in the (AlGa)2O3 layers was controlled from 0% to 74%. In our initial attempts we obtained electrically conductive α-(AlGa)2O3 layers by Si doping (2×10-9 S/cm in the sample with Al composition of 56%). Hybrid functional calculations suggest the conductivities are limited by compensation of Si through cation vacancy complexes, and not by the significant amounts of co-incorporated C and N that are predicted to be electrically passivated by hydrogen.