Learn Hardcore Romanian: Ana face cinste azi.

Ana = a proper noun, the subject
face = a verb, 3rd person singular present of a face (to do / to make)
cinste = a noun, used here in a fixed expression
azi = an adverb meaning today

So the structure is basically:

Subject + Verb + Expression + Time adverb

Why is face used here, and what form is it?

Face is the he/she/it form of the verb a face.

Present tense of a face:

eu fac = I do/make
tu faci = you do/make
el/ea face = he/she does/makes
noi facem = we do/make
voi faceți = you all do/make
ei/ele fac = they do/make

Because Ana is she, Romanian uses face.

Does face cinste translate literally?

Not really in a natural English way. Literally, it is something like makes honor or does generosity, but that is not how English would say it.

In Romanian, a face cinste is an idiomatic expression. Even if you already know the meaning, it helps to remember that the phrase works as a set expression, not as a word-for-word combination.