Yes, motorhomes also need a valid Øresund Bridge e-ticket, the price is depending on the category.
Please check the different e-vignette prices / vehicle categories here.
Order your Øresund Bridge e-vignette now comfortably here.
Related articles:
What vehicles need an Øresund Bridge digital passage ticket?
Do rental cars and campers need/ have an Øresund Bridge toll ticket?
Do I need to pay separate fees for driving on the Øresund Bridge pulling a trailer or caravan?