にえさを

… food to

→ に
phrase Rare #29,412
… food to に marks the recipient or target, and えさを means “food” or “bait” as the object of the following verb. The verb determines whether it means feeding an animal or placing bait somewhere.
JA: 猫にえさをあげました。
EN: I fed the cat.

犬にえさをやりましたか。

Did you feed the dog?

彼女は熱心に小鳥にえさをやった。

She enthusiastically fed the little birds.

家に帰りフィリップ・マーローの様に猫にえさをやる体温を持ち

Returning home, I had the body heat to feed the cat like Philip Marlowe.

— ベルリン・天使の詩 (1987)