mppt charger and normal battery charger in parallel?

I have a small setup (1 solar cell 150W, 2 batteries 12V/100Ah and a Tracer3210A charge controler)
In the near future I want to upgrade to bigger/more cells.
But for now I have the issue that my solar cell does not have the capacity to charge the batteries enough to keep up with my usage.
especially during clouded days when I get only 1A out of this older cell.
Can I put a normal battery charger in parallel to charge the batteries with a generator during clouded days. Or do I have to disconnect my solar charger if I want to charge this way.
Thanks for any help.
Hans
Comments
Second system 1890W 3 × 300W No name brand poly, 3×330 Sunsolar Poly panels, Morningstar TS 60 PWM controller, no name 2000W inverter 400Ah LFP 24V nominal battery with Daly BMS, used for water pumping and day time air conditioning.
5Kw Yanmar clone single cylinder air cooled diesel generator for rare emergency charging and welding.
|| Midnight Classic 200 | 10, Evergreen 200w in a 160VOC array ||
|| VEC1093 12V Charger | Maha C401 aa/aaa Charger | SureSine | Sunsaver MPPT 15A
solar: http://tinyurl.com/LMR-Solar
gen: http://tinyurl.com/LMR-Lister ,
Is any Intermediate circuit is available to charge battery
Thanks for the support.