Curved magnets offer a rich phase diagram and hold great promise for next-generation spintronic technologies. This Letter establishes the paramount significance of high-order vortex states (e.g., $3\phi$ with winding number $n\ge 2$) in ${\mathrm{VSe}}_2$ nanotubes, which uniquely enable magnonic functionalities fundamentally inaccessible to conventional magnetic systems, and additionally, the superposition of high-order vortex and helical states is identified. These states arise from diameter-dependent competition between the nearest-neighbor ferromagnetic ($J_1$) and longer-range antiferromagnetic ($J_2/J_3$) couplings, as jointly validated through density-functional theory calculations and Heisenberg modeling of phase diagrams. Based on the Landau-Lifshitz-Gilbert equation, we show that vortex states exhibit orbital angular momentum (OAM) hybridization governed by selection rules: magnetic anisotropy energy (MAE) and an external magnetic field couple the $l$ mode to $l\pm 2(n1)$ and $l\pm n$, respectively. For the $3\phi$ state, MAE couples the $l=0$ mode with $l=\pm 4$, producing eight-petal magnon density patterns and providing a natural mechanism for generating high-OAM magnons. These findings establish a predictive theoretical framework for controlling high-order vortex states in curved magnets and highlight ${\mathrm{VSe}}_2$ nanotubes as a promising platform for exploring complex magnetism and for the development of future magnonic and spintronic devices.

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• Magnetic order
• Magnons
• 1-dimensional systems
• 2-dimensional systems
• Nanotubes
• Noncollinear magnets
• Density functional theory