Combining two power outs along with voltage regulator
Whenever you parallel supplies, problems arise from the voltages being slightly different. With a high impedance source that can supply amps, even a few hundred uV can create large currents. 

The other problem is the converters themselves, they need to be parallelizable (usually by sharing the same clock or some other synchronization method).

So if possible, use only on TP4056 (if it can support two 5000mah batteries in parallel (with a balancer)

Other methods of load sharing are parallel diodes, which are not recommended because of losses. 

You might be able to use a circuit like this, although I'd still put 10mΩ resistors on the outputs of Q109B and Q110B to isolate the DC DC ripple, or maybe an LC filter on the inputs of this circuit. Then measure the ripple and check the TPS4056's to make sure there are no problems with synchronization (if one pushes while the other pulls then they start to fight each other, you need to increase the source impedance between sharing the modules at the switching frequency of the TPS4056) 


Source: Parallel Power Supplies with Ideal Diodes

Or a load sharing IC