Heterogeneousquantum networks consisting of mixed‐technologies—continuous variable (CV) and discrete variable (DV)—will become ubiquitous as global quantum communication matures. Hybrid quantum‐entanglement between CV and DV modes will be a critical resource in such networks. A leading candidate for such hybrid quantum entanglement is that between Schrödinger‐cat states and photon‐number states. In this work, we explore, for the first time, the use of two‐mode squeezed vacuum (TMSV) states, distributed from satellites, as a teleportation resource for the redistribution of our candidate hybrid entanglement prestored within terrestrial quantum networks. We determine the loss conditions under which teleportation via the TMSV resource outperforms direct‐satellite distribution of the hybrid entanglement, in addition to quantifying the advantage of teleporting the DV mode relative to the CV mode. Our detailed calculations show that under the loss conditions anticipated from low‐Earth‐orbit, DV teleportation via the TMSV resource will always provide for significantly improved outcomes, relative to other means for distributing hybrid entanglement within heterogeneous quantum networks.