Where does “Gemüsesauce” come from?

Gemüsesauce (German) comes from German Sauce, from French sauce, from Old French sause, from Vulgar Latin salsa, from Latin salsus, from Latin sāl, from Proto-Italic sāls, from Proto-Indo-European *sḗh₂l — salt.

Ancestry of “Gemüsesauce”, step by step

Gemüsesauce traces back through two separate lines of ancestry.

via German Sauce

StepLanguageWordMeaning
1GermanSauceSynonym of Soße
2Frenchsaucesauce
3Old Frenchsausesauce (condiment)
4Vulgar Latinsalsanominative feminine singular of salsus;...
5Latinsalsussalty, briny; salted; witty
6Latinsālsalt
7Proto-Italicsālssalt
8Proto-Indo-European*sḗh₂lsalt

via German Gemüse

StepLanguageWordMeaning
1GermanGemüsevegetable; vegetables; a seasoned vegetable-based...
2Middle High Germangemüese
3Old High Germanmuosfood, victuals, porridge; porridge, food, meal,...
4Proto-West Germanicmōswet food, mush, porridge
5Proto-Germanicmōsąwet food, mush, porridge; food, victuals
6Proto-Indo-Europeanmeh₂d-to be wet, to become wet; to meet, approach,...
Every word from Proto-Indo-European *sḗh₂lEvery word from Proto-Italic sālsEvery word from Latin sāl