Hi. can tooth antibiotics affect flush out contraceptive nur isteirate injection from onces system?

No: Antibiotics do not "flush out" injected contraceptive hormones from one's body. Commonly used antibiotics for typical infections do not alter the effectiveness of injected Nur-Isterate or Depo-Provera. The tuberculosis medications rifampin and rifabutin can decrease effectiveness of some birth control pills: https://www.nhs.uk/conditions/contraception/antibiotics-contraception/