ANSWER 
2-butyne would react the first equivalent to give 2-bromo-2-butene. This would then react with a second equivalent of HBr to give 2,2-dibromobutane. Both steps occur in accordance with Markovnikov's rule (but based on carbocation stability).  The protonation of 2-bromo-2-butene preferentially gives the carbocation with the +ve charge on the C bearing the Br - the Br is able to stablise the cation via resonance.

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