Excitons are charge neutral and thus weakly responsive to conventional gating, making magnetic fields a practical external control. Within an effective-mass framework that incorporates momentum-dependent sheet screening $\epsilon \left(q\right)$ and field-induced center-of-mass/relative-motion couplings that is benchmarked against an analytic, constant-${\epsilon }_{\mathrm{eff}}$ hydrogenic estimator, we compute dispersions and binding energies of intra- and interlayer excitons. Intralayer spectra are highly sensitive to screening yet display only weak quadratic diamagnetic shifts with negligible effective-mass renormalization. By contrast, interlayer spectra, which are less sensitive to modeling details, exhibit pronounced linear-in-$B$ energy shifts, enhanced binding, and substantial effective-mass increases. The finite spacer $D$ suppresses short-range screening, which smooths the interaction core and extends its long-range tail, thereby amplifying magnetic confinement. Consequently, low-lying interlayer excited states develop tunable roton-like minima for $B\lesssim 30$ T, implying finite-$P$ brightening. The pronounced interlayer-intralayer contrast establishes magnetic fields as a selective knob for exciton-specific control and tunable optoelectronic functionality.

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• Excitons
• High magnetic fields
• 2-dimensional systems
• Transition metal dichalcogenides