From Longman Dictionary of Contemporary Englishbag something ↔ up phrasal verb especially British EnglishPUTto put things into bags We bagged up the money before we closed the shop. → bag→ See Verb table
Examples from the Corpus
bag up• Maximum loft is achieved when the bag is fluffed up.• Damp women bundled shopping bags and prams up and down the pavement.• Golf bags propped up carefully against walls 2f the clubhouse fell seconds later.• I crawl into my sleeping bag and curl up in a tight ball.• She reached into a small clutch purse, pulled out a plastic bag and threw up into it.• Two rows of bulging designer shopping bags are lined up like soldiers against the wall.• She set the answering machine, grabbed her bag and locked up the flat.• Her mother delved once more into her bag, came up with a biscuit and curled Nicola's hand round it. 