As long as Mohawk Mogwai has a +1/+1 counter on it, it is a Horror in addition to its other types and has haste and menace.

{1}, Sacrifice an artifact: Mohawk Mogwai gets +2/+2 until end of turn. If the sacrificed artifact was a Food, put two +1/+1 counters on Mohawk Mogwai instead. Activate this ability only once each turn.