How to keep powersupply/step-up module citcuitry "awake"

How did you charge the battery form solar since that last chip you provided only steps up the battery to 5V

Was it with this one (TP4056) getting this:

This is the data:
The input voltage: 4.35-6 v (recommended voltage 5 v)
Charge cut-off voltage: 4.2 V + / - 1%
Maximum charging current output: 1000 ma
The battery overcharge protection voltage: 4.28 V
Battery overcharge lifting voltage: 4.00 V
The battery discharge protection voltage: 3.0 V
Battery discharge termination voltage: 3.2 V
Battery: over-current protection current 3 a
The board size: about 2.5 * 1.65 CM
Light state: no load the light not bright, red light for recharging, is full of green light.