  Besides moir\'e superlattice, twisting can also generate moir\'e magnetic
exchange interactions (MMEIs) in van der Waals magnets. However, due to the
extreme complexity and twist-angle-dependent sensitivity, all existing models
fail to capture the MMEIs, preventing the understanding of MMEIs-induced new
physics. Here, we develop a microscopic moir\'e spin Hamiltonian that enables
the effective description of MMEIs via a sliding-mapping approach in twisted
magnets, as demonstrated in twisted bilayer CrI3. Unexpectedly, we discover
that the emergence of MMEIs can create an unprecedented magnetic skyrmion
bubble (SkB) with non-conversed helicity, named as moir\'e-type SkB,
representing a unique spin texture solely generated by MMEIs and ready to be
detected under the current experimental conditions. Importantly, the size and
population of SkBs can be finely controlled by twist angle, a key step for
skyrmion-based quantum computing and information storage. Furthermore, we
reveal that the MMEIs can be effectively manipulated by the substrate-induced
interfacial Dzyaloshinskii-Moriya interaction, modulating the
twist-angle-dependent magnetic phase diagram, which solves the outstanding
disagreements between prior theories and experiments and verifies our theory.
