The officers, who were in a police vehicle, were injured when the unknown gunmen opened fire with assault rifles from a Lada car, near the republic's capital Grozny late on Sunday.
"After the shots were fired, the police vehicle overturned in a ditch," the source said.
Both of the injured have been hospitalized, a search for the attackers is underway.
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Ukraine has not preserved its 1991 borders. The signing of the Geneva memorandum on April 17 reaffirmed the willingness of Russia, the United States and EU countries to reach a compromise. While the sides continue to trade tough talk and symbolic sanctions, the Kremlin and the White House are also holding a parallel dialogue on the coordinated geopolitical revision of Eastern Europe.