Basically since the motor is doing work to lift smth up (ie doing smth that requires energy)
that energy has to come from somewhere so comes from the chemical store of the battery - ie "the battery has to provide more energy"
V = E/C, more energy -> more V -> V=IR -> greater I (resistance is constant)
tbh I would never just say "the battery has to provide more energy" I would always explain that in more detail, but that is I guess all of what the markscheme wants
hope that helps you