I want to use Bluetooth module, BLE, Beacon, or something like them, to transmit powerful long range signal. Also, I need to control the signal output power as much as i want, to change the range from 1 or 2 meters to the maximum range. Please introduce me a suitable module.
There are different BT classes. Class 1 has the longest range(theoretically 100 meters, but this is edge case) and uses the most power.
Class 2 has a range of about 10 meters, these are the regularly available modules.
Class 3 is a module you will not find much, the range is limited to about 3 meters and extremely low power.
You don't say what range you need. Is it 10 meters? Get the standard HC-05/HC-06 modules. More? Look around for modules that are used a lot, but be prepared for a higher price.