The forms are the same as for "to come" (kommer, kom). The object tells you which verb you have: you come to a place, but you put something in. Because this komme takes an object, the perfect uses have: Jeg har kommet salt i suppen.
Lade op
Lade op is "to charge" a phone or a battery. When it has an object, the object goes between lade and op:
This is not the lade that means "to let". The charging verb is regular in the past tense: Jeg ladede telefonen op. It also works without an object, for the phone itself: