Since they cannot damage stone, it is best to make a taming pen made of stone. A dino gateway with stone doorways and walls on top of those makes for a quick in and out dino taming experience. Safely knock out and tame the carno this way.
Very easy taming:
Step 1 look for scorpions
Step 2 tame
Step 3 mount it
Step 4 look for carno, rex, etc.
Step 5 just attack they dont agro insects (evil laugh)
Step 6 watch as they fall unconcious
Step 7 shove prime meat down their throat
Step 8 wait or roam around the map
Step 9 tap yourself for a job well done in taming
Step 10 become the boss of the whole island (evil laugh)
Taming a carno is easy but knocking it out is very hard because it runs away fast when it is about to get knocked out. Best strat is to make a taming pen 2x2 stone platforms surrounded by stone door frames(2 walls high) and wooden ramps.