The simplest way is to use the other batteries to power whatever other inverter you have and use the AC input on the solar generator.
Depending on the voltage of your 'other' battery pack vs the voltage range of the solar input, you can make a connection to feed your battery to the solar input of the generator.
If you have a 12v battery system or have some other device producing 12v already, you can feed that to the 12v charge port of the solar generator (if it has one).
Some solar generators can charge from multiple inputs simultaneously, but this may be more trouble than its worth if you are not overly concerned about charge time.
I did not look up anything about a delta pro before posting this... lol