your profile says you're in australia? it might be worth asking in the australia thread for specific suggestions for brands of veggieburgers and similar things that might be available in your area- i dunno how many of the american things mentioned so far you'll be able to get there.
with regards to burgers and the like- i bet there will be veggieburgers and veggie dogs and things like that in larger supermarkets near you, but if you're looking for your mum to pay for these, bear in mind that she might not want to buy them all the time, not least cos they'll probably cost more than regular meat versions. so if i was you, i'd probably look at other less expensive or special seeming ingredient things i could use to bulk up meals or add interest to them.
what sort of stuff does your mum cook? is it 'meat and 2 veggies' type meals, foods from a specific area (italian, greek, etc) or all kinds of different foods from round the world? you could use things like canned beans and lentils (they come in loads of types) and nuts and seeds and extra veggies to add variety and nutrients to meals like stirfries and spagetti and chilli and curry and soup and all kinds of things like that- ask if you can seperate out a portion for you before your mum adds meat to things like this when she's cooking and think of what non meat extras you can just throw in to make your bit interesting.
even if you're not hugely into cooking, you could get hold of some basic (and really easy) veggieburger receipes either in the reciepes section of this site, or on www.vegweb.com
and make your own burgers, falafels, meatballs, crumbles and sausages etc, using all kinds of things like beans and lentils and nuts and veggies, and loads of different flavours and spices, and maybe even TSP/TVP (dehydrated soya flakes/crumbles). you'd be suprised what good things you can make from basic ingredients.
this would be a good idea if you didnt mind spending an hour or so once in a while with a big bowl in the kitchen with handfuls of grated veggies and herbs and spices and mashed up canned beans, etc, mixing it all up and forming patties. you could make loads all at once, and put them in the freezer for quick and cheap burgers available whenever. i quite often make a big stash of burgers like this, its cheap and easy and healthier than eating boxed veggieburgers all the time, and quite good (and sometimes a bit messy) fun too, lol.
you could also look into trying out tofu, if you have bigger grocery stores or asian stores near you. look at the tip of the day thread which is at: https://www.veggieboards.com/boards/s...ad.php?t=50249
for really handy info on handling and making the most of tofu- which you can use in place of meat in loads of ways.
i tend to buy the firm kind of tofu, and when i get it home, i take it out of the pack, squish the water out, slice it into 4 or 8 slices, then freeze it in ziplock bags. then i'll pick a chunk out of the freezer when i need it, microwave it for 2 minutes max to defrost it, press the water out again, slice it up into little chunks, and soak it in a marinade (just a mix of liquids - things like soy sauce and lemon juice or stock or tomato paste mixed with water, or a combo of the above, and any herbs and spices that you like) then panfry it for a couple of minutes. sounds like a bit of work, but really its just 5 minutes when you get home from the store, then a few minutes preparation and cooking whenever you wanna eat it.
with tofu, you can have it any way you would have meat, (what its like depends on how you flavour it!) so try it in different ways, with 2 veggies and potatoes, or added to wraps, in tacos, in sandwiches, stirfries, soups, stews, etc etc etc -its very versatile!
hope this helps, good luck, and don't be afraid to try loads of new stuff and have a go at making your own veggieburgers!