If yes, how would you proceed further?
I think the most important hints have already been given (lawyer). Nevertheless, I will still add my two cents, I believe there are still open questions. Am I the only one who does not know the abbreviation OFFEG? Do you mean Oberkante Fertigfußboden? Or something else? From your information (40 m long plot, house at 62.5 m (above sea level?), 1 m slope, 70 cm step) I do not make sense of it. Where does the step come from now? In my opinion, that does not quite fit together or you have not conveyed it clearly. Anyway, not so important, but for yourselves you should describe the problem clearly. What always helps: a sketch, cross-section through the terrain, mark original terrain profile, mark current actual state, mark house. Add some numbers. Done. Works well by hand. Then it helps in my opinion to structure the problem; what is the problem at all? Technically - waterproofing of the house against water (clarified?) - foundation of the house (clear, right?) - step to the neighbor? Legally/financially - what costs actually arise? - contract situation? I hope this helps you, these are just suggestions/questions ... I would go to a specialist lawyer for construction law. Such can be found very easily (Google, Yellow Pages, Bar Association). You can certainly find them much easier than suitable experts. You also need one of those, but maybe the lawyer knows one ... Otherwise, Chamber of Crafts, etc. The lawyer can only clarify the legal part, but you also need a professional/technical clarification of the situation and proposals for solutions where it should go. Someone who can do this must do it for you. You yourselves cannot (which is no shame). With this (then hopefully usable) planning, you can tackle the implementation. Then you will know what it will cost. You certainly have to advance lawyer’s fees and technical consulting/planning and probably you will be left with these costs. In implementation, perhaps a compromise with the general contractor can be reached. But the most important thing is to achieve a permanently viable solution. In my opinion, you have to bite the bullet.
We are now trying to defuse the situation through suitable specialist companies and keep hearing that a lot must have gone wrong in the planning
Are there already concrete proposals on what to do now?