"become staple" is a correct and usable phrase in written English.
It means to become a consistent or essential part of something. You can use it to describe something that has become a regular or important part of your life or routine. Example: "Exercise has become a staple in my daily routine."
This is all the more impressive given that Martian ingredients have since become staple parts of the national poetic diet.
Man-made filaments cut to a predetermined short length become staple fibres, usually described by combining the fibre name with the term staple, as in rayon staple.
Perhaps her closest bond with her readers were for her two essays now coupled into a single edition, 'Illness as Metaphor' and 'Aids and its Metaphors', both of which have become staple manuals of comfort and confidence for those who have cancer or HIV.
The activities of the bevy of leggy showgirls and escorts who have frequented the court and attended the parties of the man that many commentators now disparagingly call The Sultan, have become staple fare for many Italian newspapers and magazines.
His personal experience with his own portfolio and life, which has made him independently wealthy, complemented with his education led Ike to discover the 9 financial myths that have become staple beliefs and practiced by the majority of Americans who are reeling from the repercussions of these mistakes.
Gibbs random fields have become staple models in machine learning, including applications in computational biology and bioinformatics [see, e.g. Grelaud et al. (2009); Wei and Li (2007)].
A few Oregon and Washington wines have become staples.
The books have become staples of evangelicalism, said David Neff, editor of the evangelical publication Christianity Today.
He's not exactly alone; Santas behaving badly have become staples of pop culture.
Why do some new words become staples of our everyday language while others fade away?
Test scores stay low, and review materials become staples for the stream of newly arriving students.
