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We study THz-driven condensate dynamics in epitaxial thin films of MgB$_{2}$,a prototype two-band superconductor (SC) with weak interband coupling. Thetemperature and excitation density dependent dynamics follow the behaviorpredicted by the phenomenological bottleneck model for the single-gap SC,implying adiabatic coupling between the two condensates on the ps timescale.The amplitude of the THz-driven suppression of condensate density reveals anunexpected decrease in pair-breaking efficiency with increasing temperature -unlike in the case of optical excitation. The reduced pair-breaking efficiencyof narrow-band THz pulses, displaying minimum near $\approx0.7$ T$_{c}$, isattributed to THz-driven, long-lived, non-thermal quasiparticle distribution,resulting in Eliashberg-type enhancement of superconductivity, competing withpair-breaking.

Possible Eliashberg-type superconductivity enhancement effects in a two-band superconductor MgB2 driven by narrow-band THz pulses