A "sharp critique" means a strong and harsh evaluation or criticism of something. It often highlights the flaws, weaknesses, or negative aspects of a particular subject. Full definition
The agency's latest sharp critique against AT&T and Verizon may not have much impact, however, as current FCC chairman Tom Wheeler, appointed by President Obama, is stepping down within days. (fortune.com)
And yet, on two major issues that often attract much of the public's attention — ethics and housing — Mr. Cuomo's accomplishments drew sharp critiques for failing to live up to grand promises. (nytimes.com)
Budget insiders took notice of the especially sharp critique of Gov. Andrew Cuomo's new fiscal plan by the financial and legal experts who work for the Senate Republicans. (nystateofpolitics.com)