Recommend a grass seed for typical Thai red soil that I can buy online

[AndyAndyAndy]

Recently, I hauled more soil to my garden and flattened it. It's typical Thai red soil. After 6 months, about 25% of it is covered by grass already. Can you recommend some grass seed that I can buy online (Lazada) that grows well in this soil? Send link if you can.

 

Also, is there any point in using fertilizer or something to help it grow? I know the best option would be to add a small layer of black soil, but I'm working with what I have.

 

Here's a small sample. My strategy so far has been not to cut it, so it can grow seeds and multiply on its own.