Looking forward to the smell of rice in the kitchen, my mother s footsteps are closer, right?

This sentence is very coherent. No typos. There is just no punctuation.

Personally, I don't think the semantics are quite compatible.

Should be. Looking forward to it. Looking forward to it. The smell of rice wafted from the kitchen. Mommy has arrived!

Mom's footsteps are near. It's just not here yet. Why is there a smell of rice?

It's okay, it's organized, and the sentences are smooth.

It's good, it's better to add punctuation.