conduct a counter-offensive(Momentum is on Ukraine’s side following two counter-offensives, around Kharkiv in the north-east, and Kherson in the south, that were conducted with a minimum of loss and a maximum of triumph.economist.comART Vancouver)
launch an attack(пример из Учебника военного перевода п/р проф. Л.Л. Нелюбина Военного изд-ва МО СССР, М.-1981: The battalion was assigned the mission to launch an attack at 010315 January.
Батальону была поставлена задача перейти в наступление 1 января в 3.15.solitaire)
be turned over to someone's command(в знач. "быть переданным в подчинение кому-либо": Rommel sent a message to Kesselring on February 18 asking that Arnim's battlegroup be turned over to his command4uzhoj)
shift from defense to offense(But these definitions do not encompass a decision to shift from defense to offense. When one nation attacks and the other only fights defensively, war already exists as a result of the attack and the defense – by Michael D. RamseyTamerlane)