Reads like you didn't follow the procedure, you need to do more than what you wrote.
Follow the procedure - it's step by step, do it or hire it out.
Adding fluid to reservoir does nothing to get air out.
If air is found in system, you have a leak, have to find it.
The reason for using the bottle tied up high is to keep the reservoir from going too low and admitting air (once again) while doing procedure. The bottle bottom can be cut off to allow one to fill it in progress, not just poking it to make a hole. Secure it properly otherwise a mess is to be made, hydraulic fluid is very thin and flows readily.
If you have an autopilot, procedure to bleed system may be different.