From Longman Dictionary of Contemporary Englishcover something ↔ over phrasal verbto put something on top of something else so that it is completely hidden The female lays a single egg and covers it over. → cover→ See Verb table
Examples from the Corpus
cover over• Full Open Driving cover for drivers over 25 and under 70 years of age with a full licence for 12 months.• That evening when Fritha came, the sea had moved in through the breached walls and covered it over.• Each time she does so, the male has to dig down to the buried vegetation and cover it over again.• He saw that the boy had written his name many times on the cover, over and over.• Jinju quickly moved away from the window and lay down on the kang, pulling the covers up over her head.• Stir well, cover and cook over low heat 45 minutes, removing cover and stirring at 15-minute intervals.• A cover was installed over the second seat and a new canopy and windscreen were built.• A down-stuffed duvet in a printed-cotton cover lay over them. 