I will suggest you to use a hybrid inverter as it will work on solar and battery simultaneously. They are also cheaper and more efficient.
Some of the best hybrid inverters are:
1. SolaX –All in one hybrid inverter with Back ups (UPS) and Solar storage
2. Luminous solar nxt off grid hybrid inverter: Max support 3KW
3. Microtek on grid solar inverter msun: Size- 2 kw, Efficiency-97%
4. Sukam 3 kW off grid hybrid inverter: Size- 2-3KW, Efficiency-95%
5. Flin Energy Flinslim lite off grid Solar hybrid inverter
6. Huwai SUN2000L-5 KTL HV Storage 5KW Hybrid inverter- Size- 2-5KW, Efficiency-98% - All in one hybrid inverter
7. Growatt- All in one hybrid inverter with Back ups (UPS) and Solar storage
8. Solar Edge- All in one hybrid inverter with Back ups (UPS) and Solar storage, Size: 2.5kW to 10kW, Efficiency: 99%.
9. Redback- All in one hybrid with off grid, Back ups (UPS) and Solar storage.
Soltaro, Delta, Sungrow are also well known hybrid inverters. You can choose according to your requirement.