Anyway one looks at it, lawns and garden beds simply don’t mix well and need to be kept separate. One of the easiest methods is to not plant lawns. Secondly would be to choose your grasses well.
There is no easy way to manage such situations on rental properties without discussing the situation with the owner and reaching an agreement on the land management.
http://www.coastallandscape.com.au/_literature_76462/Five_Ways_To_Stop_Grass