Thomas,
I am puzzled that your app does not have a power factor option. I use android version 34 beta (actually a variant which I modified for increased capability using broadcast intents). Maybe you have a android app version prior to PF implementation since I don’t when PF was implemented. Version 34beta has a numerical display choice for apparent power, real power, and PF. Set top display to Current AC , Auto 10A; Middle display to Voltage AC, Auto 600V; bottom display to Power Factor. I just tried it using a compact fluorescent light bulb as a load and in graph mode, the graph looks very similar to the Waveform graph in your post of V and A against time. Be sure to turn Buffer Mode ON. To stop scolling, turn Autoscroll off. I do not believe the PF is logged, so if that is your only issue then I cannot help.

I think you have 3 choices to get version 34 beta.
1. Become a beta tester. Very easy, painless. Then the versions you get from the Playstore are the latest.
https://moosh.im/wiki/index.php/Beta_Program

2. Download the apk from the developer’s page. You need to side load the .apk file into your android device. You can google how to sideload.
https://github.com/mooshim/Mooshimeter-AndroidApp/tree/beta

3. Download my modified 34beta version which is compatible with commercial apps like Tasker, etc to program additional capabilities.
https://github.com/DuaneOne/Mooshimeter-AndroidApp-34beta-BcastIntent

Does this help any? — Duane