A single 200 Ah battery, draining to 50% SoC, should still run a 12V 8A freezer for 12 hours.
What shuts down? Is there something like the charge controller with a load terminal performing low-battery disconnect? Or does freezer decide voltage is too low?
Sounds like you've already tried adding one more battery (2 total?) but you say 24V, 400 Ah. It is one or the other ... connecting two 12V 200Ah in series gives you 24V 200 Ah. In parallel, 12V 400 Ah. Which did you do?
Could be the freezer has some operating voltage range, but low side below 12V cuts out too soon. If you wire as 24V battery (which I think you may have), that's likely to work better.
12V of panels charging 12V battery and 24V of panels charging 24V battery may or may not work well. A 12V panel is typically 17Vmp to 18Vmp but that varies with conditions. A MPPT charge controller sometimes needs PV voltage 5V above battery voltage (but some work with less.) Likely battery isn't getting fully charged.
Post the specs of PV panel and MPPT charge controller.
Could be that connecting two 24V 210W PV panels in series for "48V" (or about 72Vmp, 90Voc), feeding MPPT charge controller, charging two 12V 200A batteries in series for 24V will work. But very important to consider maximum input voltage spec of charge controller first.
Finally, it is better to run the freezer while sun shines and shut it off at night. You can store cold as ice (or salt water ice for a lower temperature) rather than in battery. For the ideal setup, a second thermostat to turn freezer on at night anyway, if temperature gets too high an salt water ice has melted.