Power Bank that supplies 5V to a circuit

I have read the information of the shared leagues, in fact the solution of all is to increase the energy consumption to reach a minimum of approximately 50 mA so that the battery does not turn off.

The solution that I look for is how to work with a power bank without it being turned off with a circuit that currently consumes 16 mA and later is 5 mA and even 1 mA if I activate the sleep mode.

Thanks and Regards