"Row" means "noisy fight" or "noisy argument." It often means a public argument, so noisy that people nearby hear it.
It is used frequently by the British. It's not often used in the U.S. It rhymes with "brow" or "cow." It's a totally different word from "to row a boat" or "the rows and columns on a chessboard," in which "row" is pronounced "ro" and rhymes with "so" and "go."
"Machete" is a loanword from Spanish. A machete is a large, heavy knife used to clear vegetation, which can be lethal if used as a weapon. It's pronounced muh-SHET-ty.
Your headlines mean someone attacked another person with a machete, and the police think the attack was caused by a loud argument about money. "Row" suggests a public argument that was so loud that many people heard it.