If you reseed your lawn, what is the proper way to cover the seeds with a
thin layer of soil so that the seeds can be kept moist and are not visible
to birds?

Last time I had the idea of seeding the lawn in 2-foot stripes so I can
shovel some soil aside before I spread the seed, and then sprinkle the soil
back on top of the seeds. However this results in stripes of lawn with
different grass density.

Some people says to rake the seeds into the soil. I tried that but some
seeds would still be visible, plus raking would disturb the distribution of
the seeds and may cause uneveness.

Suggestion?
How do sod farms do it?