Sauce
Middle English: from Old French, based on Latin salsus ‘salted’, past participle of salere ‘to salt’, from sal ‘salt’. Compare with salad.
wiktionary
From Middle English sauce [1], from Old French sauce, sause, sausse, salse, from Vulgar Latin *salsa, noun use of the feminine of Latin salsus(“salted”), past participle of saliō(“I salt”), from sal [2]. Doublet of salsa.
etymonline
sauce (n.)
mid-14c., from Old French sauce, sausse, from Latin salsa "things salted, salt food," noun use of fem. singular or neuter plural of adjective salsus "salted," from past participle of Old Latin sallere "to salt," from sal (genitive salis) "salt" (from PIE root *sal- "salt").
Meaning "something which adds piquancy to words or actions" is recorded from c. 1500; sense of "impertinence" first recorded 1835 (see saucy, and compare sass). Slang meaning "liquor" first attested 1940.
sauce (v.)
mid-15c., "to season," from sauce (n.). From 1862 as "to speak impertinently." Related: Sauced; saucing.