This is practically my specialist subject! I have been on a liquid/very soft food diet for the last 3 months due to gastric ulceration and a 'redundant stomach' which I'm having surgery on in Jan/Feb, after which I'll be tube fed for 3 months then back on this diet - probably for at least a year, but maybe forever!
My main source of calories are Fresbuin drinks (Mango flavour are the most palatable), but they are high calorie build up drinks (I'm trying to put weight on for surgery) so although they contain all the vitamins, fibre and calories you need, they're not ideal if you want to loose weight.
There are a couple of meals I've found so far that I can eat; Mr Brains faggots with mashed potato, swede & carrot mash and gravy or slow cooked vegetable stews/casseroles (so the veg is quite soft).
Other foods I can eat:
Baked beans, Angel Delight, ice-cream, yogurt, Soup (Cream of.../vegetable/tomato), chocolate (it melts in your mouth so I count that as a liquid
, butter, potato (boiled/mashed/inside of a jacket spud - not the skin), tuna mayo, mousse, porridge, small amounts of rice, bananas, melon.
Foods I avoid:
Pasta, nuts, pastry, Seeded/Granary bread, mushrooms, most meat and fish, sweetcorn, raw veggies/salad, cheese, grapes, oranges/satsumas.
My teeth are shot too, due to years of frequent vomiting (7/8 times a day for around 3 years approx.20 days out of a month until a week after I started this diet!) so my chewing capabilities aren't fantastic, but as PP's have said, my gums did toughen up where I've lost molars at the back so that will help you as things settle down.
Good luck!