Does the grass get any Sun in the 6 worst months of the year?
Is it in a raised bed?
You could try using a fork to make drainage holes and sweep sand into the holes.
What do you use the lawn for? If you tripled the width of the borders, you'd be using up the muddiest patches and then you'd have enough room for some beautiful plants.
Are those leylandii? If you're not careful your whole garden will be nothing but leylandii soon!
Anything I can do before spring to make this less of a mud patch or should I just accept it?