n "He Who Serves Two Maters Disappoints one... or Both" Jose Antonio Burciaga compares two cultural identities that most Mexicans are either labeled as Mexicanos or Chicanos
... compares two cultural identities of Mexicans: Mexicanos and ChicanosHowever, he explains how these two identities do not differ from each other besides the cultural living.
You don't need however here. It will be better to say this way: "He explains that the only difference between these two identities is culture"
To be Mexican American can be confusing on how one identifies him or herself.
Do you mean "It is confusing how one identifies himself/herself as Mexican American"?
Although, there are many terms that I can identify myself, I consider myself Chicano.
However, there are many reasons (I thinks reason is better than term) why I consider myself a Chicano.
In addition, having both of my parents born and raised in Mexico, I live an American lifestyle.
Though having ...
For example, at family reunions
Maybe family holidays?
Perhaps, the most important way I identify myself as a Chicano is being bilingual.
the most important reason
Since I had many non-speaking English customers
non English speaking customers
While, many Chicanos in America continue to live out their Mexican roots
This sentence needs to be continued, or you should eliminate "While"
Many of the transaction words you have used do not suit to the place, you should be careful about that.
Also I thinks you could have finished essay in a different way. In conclusion you only restated about food, maybe it would be better to summarize all points, not only food.