Updates themselves don't make batteries drain faster. You have an iPhone 11, which was originally released in 2019, 6 years ago. If you still have the original battery in your phone, it's health by now likely requires a new battery. Open Settings > Battery > Battery Health and see if it is at 80% or less. If it is, the useful life of the battery has been used and it's time for a new battery.
Also, one thing I do after EVERY iOS update is Force Restart my iPhone. I have never ever had any battery drain issues after an update, likely because this procedure helps with that. Do this after every iOS update --> Force restart iPhone - Apple Support (CA)