We present results on the Forcespinning (FS) of MoS₂/PAN and MoO₂/PAN solution precursors for the mass production of MoS₂/C and MoO₂/C composite fibers for use as binder-free and freestanding anodes for lithium-ion and sodium-ion batteries. The binary composite microfiber electrodes were prepared using a scalable technique (FS) and subsequent thermal treatment. Scanning Electron Microscope (SEM) images of the composite microfibers showed nanoparticles of the MoS₂ and MoO₂ active materials embedded in the surface of the fibers. The composite microfiber preparation process involved FS of the MoS₂/PAN and MoO₂/C solution precursors into microfibers and subsequent stabilization in air at 280^oC and calcination at 700^oC for MoO₂/C and 810^oC for MoS₂/C under an inert atmosphere. The flexible composite microfibers were directly used as working electrode in lithium-ion and sodium-ion batteries without a current collector, conducting additives, or binder. The MoS₂/C and MoO₂/C composite fiber electrodes delivered a good electrochemical performance and Coulombic efficiency when used for lithium-ion batteries. The MoS₂/C electrodes delivered an initial discharge (insertion) capacity of 650 mAhg^-1, with a corresponding charge capacity of 425 mAhg^-1 at a current density of 100 mAg^-1. In the subsequent cycles, the MoS₂/C electrodes stabilize at about 50 cycles and maintain a stable specific capacity of about 245 mAhg^-1, in the last 5 cycles there is slight recovery with a final specific capacity of 255 mAhg^-1. The MoO₂/C composite anode delivered a reversible capacity of 356 mAhg^-1 at 100 mAg^-1, stabilizing at 245 mAhg^-1 after 100 cycles. The results presented in this work showed that the MoS₂/C and MoO₂/C composite fibers have good reversible capacity, good capacity retention and acceptable rate performance when used as anode materials for rechargeable lithium ion batteries.