Is the laundry/mud room 127sq ft?

Yes, it is 127 sq ft, and all of the listed dimensions are accurate.

Wow! I am jealous, not all of us have a laundry room.

The only thing that I can suggest is that if you wear sweaters a lot in your part of the country you may want to put in an area where you have a series of flat drying racks for sweaters.

The sorting station needs to be completely clear to the kids so that they can put their own clothes in the right place to get washed later.

I'm not sure what the rest of your house looks like but this room is just large enough that things like the sewing machine, the mop, the broom, the vacuum cleaner and miscellaneous non-pantry type items (big batches of things from Costco) may end up being stored here. I would analyze how the room is being used in relation to the rest of the house so that if you realize something must also be stored here you can plan for it now.

Practigal brings up a nice point about flat drying spots for things like sweaters. I would vote for a tall storage closet so that a regular ironing board could be stored there, as well as broom, mop, portable drying rack, general cleaning supplies, etc. Maybe this closet could be to the right of your w/d set.

Good idea Enduring about the storage closet added to the right of the appliances..that does look like an empty space.

I like the idea of these, but I've never used them so don't know how practical they are. These could be used to hold a sweater flat across all the rails, or used singly for hanging items over each rail :

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If you have a wall ironing board, be sure there is enough room to store ironing supplies in the cabinet, also an electrical outlet in the cabinet. Be sure that there is room on the side you iron on to stand if you have a wall ironing board installed, otherwise it wont be so handy if you have to iron backwards from your normal method. I know from personal experience. I had no chose but to put mine in the location, even though I stand opposite from my regular spot. I have a pull out drawer ironing board that is ok for small duties, but a real ironing board is better. That is why I recommend an area to store a real ironing board.

Is the tight spot you are referring to where the washer and dryer are located? Machines are so big now and seem very deep. Perhaps you could rotate them to the wall on the right and put a small over the washer for detergents. Install a rod over the dryer for hanging clothes. Determine how much depth you need for you washer and dryer, hook ups and the space in front of them for doing laundry. Then make your sink cabinet wall cabinets that length to accomplish that.

Put an in wall ironing board on the shared bathroom wall.

Much that I like the pull out laundry racks shown above, I would not put them over the top of the washer or dryer as it would be very inconvenient deciding whether to use the drying rack or to use the appliance. I like the idea of them being on the wall or over the sink better.