The granted abilities effectively use "this permanent" rather than "[that card's name]," so you treat the abilities as though they were printed on the permanent that gained the ability. For example, say you exiled the card Argothian Sprite with Hazel's Brewmaster. Argothian Sprite has the ability ": Put two +1/+1 counters on Argothian Sprite." If you controlled a Gingerbrute (an Artifact Creature – Food Golem), you'd treat it as though it had the ability ": Put two +1/+1 counters on Gingerbrute."