Okay, I'll have a shot at this, barring injuries, retirements and disasters, perhaps I might get very accurate.
In Tokyo we had a very unsuccessful Olympics with 42 athletes and only a single medal, I think it shouldn't be too difficult to better this performance, but let's see sport by sport.
We had 0 in archery and artistic swimming and we'll continue to have 0 in both.
In athletics we had 11 athletes: Truskauskas, Žiūkas, Mastianica, Gudžius, Matusevičius and Jasiūnaitė should make it. Šerkšnienė and Virbalytė probably gonna be retired. Palšytė, Zagainova and Glebauskas are question marks. I have high hopes for Morauskaitė, Galvydytė, Karinauskaitė, Baikštys, Baikštytė, two marathon runners, one additional race walker at least, Petrokaitė, Kilty, Mykolas Alekna, Martynas Alekna, Zarankaitė and Benkunskas.
This would up our athletes in athletics to 20 and if things go well, the number could even rise to 24.
Badminton - probably 0
Basketball - one of the most unpredictable sports with so little spots to qualify, the results have not been looking so stellar, so I'll go with won't qualify again.
Basketball 3x3 - both the men's and women's teams are showing brilliant results right now, I'd assume they should be able to qualify both.
Beach Volleyball - we have some very capable teams and two female teams qualified to the European Championship, but qualification in this event is super tough, so I'd say 0 this time too.
Boxing - we have strong men and women, but when it comes to qualifying, it's always a struggle, so I'll settle for a confident 1 (either man, or woman)
Breaking - I think we have one girl that's been taking titles left and right, so 1
Canoeing Slalom - Just no
Canoeing Sprint - in Tokyo we suffered a major disaster with only 1 athlete qualifying. Nearly everybody had to change disciplines and it affected all of our sprinters. This time everyone will feel more secure during the qualification period, so it would be safe to guess three boats - one single, one double, one four. It's likely we could qualify more, doubt that our women have any chance.
Cycling BMX/Cycling Mountain Bike - 0 in Tokyo, could hope for 1-2 athletes in Paris.
Cycling Road - we had 2 athletes in Tokyo, I'm going to go with a bold guess we'll qualify 3 somehow.
Cycling Track - 3 athletes in Tokyo, though without Krupeckaitė, no chance to qualify a team. The men are forming a sprint team, but too much work there to fix in so little time. Lendel, Marozaitė, Baleišytė could qualify in their individual events.
Diving, Equestrian, Fencing, Field Hockey, Football, Golf, Rhythmic Gymnastics - SKIP
Gymnastics Artistic - two men are possible
Judo - we had 1 in Tokyo, 1 in Paris should be doable.
Modern Pentathlon - 3 in Tokyo, 3 in Paris probably as well.
Rowing - we had an amazing team of 9 in Tokyo, 9-10 could be possible for Paris as well, but everyone will need to step up in the next two years.
Sailing - probably not better than 2 just like in Tokyo
Shooting, Skateboarding, Sport-climbing, Surfing - NOPE
Swimming - this one is the most interesting and tough to predict, because we have a huge amount of talent, but it's uncertain if there's enough time for them to grow into Olympic level. We had 6 swimmers in Tokyo, but I think we should be capable to beat this number.
Rapšys, Šidlauskas, Savickas, Pancerevas, Navikonis, Pavlidi, Grigaitis, Teterevkova, Meilutytė, Plytnykaitė, Margevičius, Statkevičius. Yes, it's a very very brave prediction, I'm even dreaming about a women's freestyle relay, but a season and a half might not be enough. Still, let's say a very questionable 12 for now
Add 1 more to tennis and two more to wrestling, and I think you have my final prediction:
Projected amount of Lithuanian athletes in Paris - 77 , could go up to 89 if we qualify men's basketball.
Projected amount of medals for Lithuanian athletes in Paris - 1 in athletics, 1 in swimming, 1 in modern pentathlon, 1 in rowing would be my guess, with possibilities of another 1-2 in athletics, 1 in swimming, 1-2 in rowing, 1 in canoeing sprint, 1 in boxing, 1-2 in basketball 3x3