We have electric fencing and it carries a BIG jolt when they touch it! Your horses have no respect for your fencing, which is why they have blown thru it. Get some height of electric above boards, another line out some distance sideways in front of top boards. We use the white electric tape from TSC, very visible, carries a good jolt with the right fencer.
After raising fence and adding extra tape in front, make sure tape is HOT! Then walk the horse along the fence on a long rope (no nylon lunge lines, you will get burned as he pulls) you can let out a bit. Let horse reach out and touch the tape! Stand to one side, so no straight pull on the lead rope when he jumps away. Go with him. Then lead him to tape again, see if he will touch it again. Do this on all sides of paddock, field fence, so he clearly sees, KNOWS the tape bites. You may want to run a tape line with a spring handle at both ends for easy, complete removal when using the gate itself. Tape across in front of gate is so he won’the try jumping the plain gate. Do the same with the mare, she also needs this education to keep her safe in the future.
You may want to lead both horses around the fence lines a couple times over a couple days, see if they touch again, before free turnout. This will reinforce the lesson. Tape is very visible day and night. May need tightening if you get lots of wind or ice on it. Gonna cost, but having HOT tape in front at board height and up a foot above boards on ALL fence lines, is needed to fix this acting like an idiot when the wind blows.
If horses are not trained to stay away from the tape and fences, you will eventually have a hefty Vet bill for injuries. Letting horse get “burnt” on the hot tape is one of the life lessons they NEED to know for a good future life. Like tying well, standing tied quietly for long times, things will go better for the horse in the future. Life lessons can be harsh, but better taught under control with the lead rope, to ensure a good result