Every winter it’s the same. Plant the wheat/oats/ barley or whatever, express amazement at how fast it grows, then plant some all over a week or two later because it dies so fast.
I would settle for slower growth and longer life. Is there some secret to keeping this longer? I only have a west facing window to put it in. The east facing windows are shaded by a big tree.
You can supplement light with growing lights. Grass requires both moisture and light to be successful.
I tried that last winter. It made no difference. I can grow indoor plants, just not grass for some reason. If I could persuade them to nibble on phalenopsis orchids, I wouldn’t need the grass.