All you all or nothing people. Sheesh…
Pressure canning isn’t that hard - you just have to know what you’re doing. My family has been canning meats and veggies all my life, and none of our family is dead yet.
If Mama Lucretia isn’t familiar with canning, go find a local church or hippie establishment and find someone willing to take a hand and help out. For a soldier overseas, I bet lots of people will be willing to share their expertise.
Now. Pasta doesn’t can well. Sorry, but it’s true. Meat DOES can, but you have to be really careful because of botulism. That’s where you want your expert. Your lasagne sauce will can excellently, no problems at all.
So, what you’ve got comes down to this.
Step 1) Can your lasagne sauce, leave it out for a week or so, and see how it tastes after canning. Sometimes spices or consistency need to be adjusted to compensate for the heating/canning process. These can usually be fixed pretty easily by a simple taste/texture test.
ETA - TO be SUPER CLEAR about this - NO MEAT in the sauce! This is JUST the veggie and spices portion. All meat stuff has to go in the meat sauce for an experienced person to can. Makes things much safer.
Step 2) Find someone willing to can your preferred lasagne meat. If you’re a home pressure canner, then go for it - otherwise, I do strongly suggest finding an experienced meat canner.
Step 1&2 continued) Figure out whether the cans/jars can survive the pressure differential in flight. If not, figure out how to get your care package into a pressure-controlled environment (either some sort of packaging, or some sort of bribery)
Step 3) Experiment with various brands of lasagne noodles. There are several styles that do not require pre-cooking. Figure out which one matches closely with your traditional lasagne.
Step 4) Go find the canned/jarred cheese aisle at an upscale or trendy food market. Find various cheeses and play with them as lasagne cheeses. This part is likely to be a sticking point, so be prepared to be creative - try mixtures of several different kinds.
Step 4 continued) see above process for surviving the flight over.
Step 5) Assemble necessary cooking utensils and dishes (oh aluminum pans, how I love thee) and if you’re feeling really nurturing or you know they don’t have access to ovens, the instructions and necessary items to build a solar oven. (again, aluminum pans, how I love thee).
Step 1-5 continued) Test the prep on yourself first to make sure that you send accurate instructions and notes about the process. Also this way if you get food poisoning, you’re fairly close to a doctor. 
The reason for keeping everything separate is that even if any one part doesn’t make it through the process, the rest is still useful and homelike for the boy to use.
Once you’ve got the ingredients and prep to your satisfaction, move on to the last and best part!
Step 6) Mail, and wait for your legend to begin circulating.
Step 7) Be prepared for requests from the troops for other ‘impossible’ food types to prepare and ship over.