YOU SAID:

the cat ate the cow then pooped it out

INTO JAPANESE

猫は牛を食べてからうんちをしました

BACK INTO ENGLISH

The cat ate a cow and then pooped

INTO JAPANESE

猫は牛を食べてからうんちをした

BACK INTO ENGLISH

The cat pooped after eating the cow

INTO JAPANESE

猫は牛を食べた後にうんちをした

BACK INTO ENGLISH

The cat pooped after eating the cow