Here 버리다 is the full verb meaning to throw away or discard, and the clause in front gives the step or the reason: pick them up and bin them, catch it and toss it outside, cut it in half and threw it out, threw them out because they were past the date. Do not confuse this with the helper 버리다 attached to another verb, which adds a sense of doing something completely or irrevocably and involves discarding nothing. Every line here is the literal throwing away.