Anashkin continued to command the 61st Guards during Operation Gallop in early 1943. He rose to command the 19th Rifle Corps on 28 February, and in April he became commander of the new 33rd Rifle Corps, which included the divisions of the 19th. After leading the corps in actions in the area of Starobilsk, Anashkin became commander of the 64th Rifle Corps of the 57th Army in July. From mid-1943 to early 1944, he commanded the corps in the Belgorod–Kharkov Offensive, the capture of Chuguyev and Krasnograd, the attack of the 2nd Ukrainian Front towards Krivoy Rog in October, the two-month defense on the Inhulets north of Krivoy Rog from November, the Bereznegovatoye–Snigirevka Offensive, and the Odessa Offensive.