She was born in 1918 in the shtetl of Koidanovo (present-day Dzerzhinsk), west of Minsk, as Luba Kagan. In 1937, Luba Kagan graduated from a dentistry school in Minsk and was sent to work as a dentist in the shtetl of Komaryn in Belorussian Polesia. Following the outbreak of the Soviet-German War in summer 1941, with the German Army approaching eastern Polesia, she managed to leave the threatened region by joining the medical-sanitary battalion (medsanbat) of the Soviet 5th Army that was retreating southeastward, in the direction of Ukraine. While moving across Ukraine, Liubov's unit found itself encircled by the enemy. The commander dispersed the unit, and Liubov Kagan, dressed like a peasant girl to hide her Jewishness, spent the next two months walking across eastern Ukraine toward the frontline. She finally managed to cross it in autumn 1941. As a Red Army serviceperson who had spent a long time in enemy territory, Kagan underwent a series of interrogations by the special department of the regiment (probably of the 46th Army) that was to adopt her, and she was ultimately assigned to its medical-sanitary department. Liubov Kagan was promised that she would be permitted to work in her professional capacity, if she could procure the equipment for a mobile dentistry office. She managed to do so, and, from early 1943, she served as a dentist at the medical-sanitary department of the 235th Reserve Rifle Regiment, the 46th Army. With this Army, she took part in the liberation of the North Caucasus and of eastern Ukraine (in1943), and later fought in western Ukraine, Romania, Hungary, and Austria. Liubov Kagan met V-E Day in Vienna. In November 1945, she was discharged from the Red Army in the rank of lieutenant of the medical service.
Liubov Kagan knew that all her close relatives had been killed by the Nazis, and that she had nowhere to return to. A distant relative of hers lived in Moscow, so she settled in that city, where she worked as a dentist. Her husband, who was also a war veteran, taught at a Moscow medical institute (university). During the Stalinist anti-Jewish campaign of 1952-53, he was fired from his job and died of a heart attack. In 1990, Liubov Rozengauz moved to Israel with her only daughter and granddaughter.