Hit the bid. Lift the offer (or ask). When we hit the bid (to open a position) we are selling in the expectation that price will fall. You hit something in the hope that it falls. When we lift the offer (or ask… to open a position) we are selling in the expectation that price will rise. We lift things to make them go higher.
The passive limit orders on the other side of these trades are of course taking the opposite view. When a sell market order hits the bid, the corresponding passive buy limit order is BIDding price X for quantity Y. When a buy market order lifts the offer, the corresponding passive sell limit order is offering/asking quantity X at price Y. Passive buyers bid a price for quantity. Passive sellers offer a quantity at a price.