Two sarees on a shelf, both soft, both plant-derived, both around the same price. One is labelled modal and the other viscose. The difference is real, but nobody selling them explains it, so the modal vs viscose saree question usually gets settled by whichever colour you liked better.
Here is what actually separates them.
They start in the same place
Both are regenerated cellulose. Wood pulp goes in, gets dissolved, gets pushed through fine holes, and comes out as fibre. Neither is a natural fibre in the way cotton is, and neither is synthetic in the way polyester is. They sit in between, which is why both breathe reasonably well and neither behaves like plastic against the skin.
Viscose is the older process, dating to the 1890s. Modal is a later refinement of it, usually made from beech pulp, engineered specifically to fix viscose's biggest weakness.
The differences that matter
Wet strength. This is the big one. Viscose loses a large share of its strength when it is wet, which is why a viscose saree can stretch out of shape if you wring it or hang it dripping. Modal was designed to hold up wet. In practice that means modal tolerates ordinary washing and viscose wants a gentler hand.
Sheen. Viscose has more of it. That faint liquid shine is the reason it reads as silk-like from across a room, and it is why we file ours under Vegan Silk. Modal is quieter, closer to a very fine cotton with a soft glow rather than a shine.
Drape. Viscose falls closer to the body and pools at the pleats. Modal has slightly more body, so pleats hold their shape through the day and the pallu keeps a defined edge. If you want fluid, viscose. If you want structured, modal.
Shrinkage and creasing. Modal resists both better. Viscose can shrink on a first wash if the water is warm, and it takes water spots if you drip on it, which shows more on darker colours.
Feel in heat. Both are more breathable than polyester and cooler than heavy silk. Modal is more absorbent, so it handles a sweaty commute better. Viscose feels cooler on first touch but holds damp longer.
Who each one is for
Buy modal if the saree needs to survive being worn often. Office weeks, long days, frequent washing, travel. It creases less, washes without drama and comes back looking the same.
Buy viscose if the saree is for occasions where you want the fall and shine of silk without the weight, the heat or the cost. Daytime functions, festive lunches, a family event where you will be photographed.
Neither is the better fabric. They were built for different jobs.

What to check before you buy
Ask what the fabric actually is. A lot of sarees online are described as art silk, soft silk or simply printed silk, and underneath the label they are viscose. That is not dishonest in itself, but you should know what you are paying for, because it changes how you wash it.
Check the weight too. Very light viscose can look thin under a camera flash and may need a petticoat in a matching shade. Modal at a decent GSM does not have that problem.
If you are still deciding between plant fibres more broadly, the modal and cotton comparison covers the other half of this question.
Two to look at
For the modal side, Pink Modal Saree is a straightforward everyday drape with a block print that does not fade after a few washes. Rs. 1,830, blouse piece included.
For viscose, Tara – Ivory Vegan Silk Saree shows what the fibre does best: fine line-art printing and a fall that follows the body. Rs. 1,830, blouse piece included.
The full ranges sit under Modal and Vegan Silk if you want to compare colours side by side.
One practical tip that applies to both: wash cold, and never wring. Squeeze the water out between two dry towels instead. Viscose needs this and modal does not mind it, so you can treat the whole cupboard the same way and stop thinking about it.