Which antibiotics can I take to treat bladder infection caused by anal bacteria in vagina during sex that wont intetact with Lutera Birth Control?

All and none. All antibiotics can interfere with the absorption of any oral contraceptive if it is taken at the same time as the pill. Therefore, take the pill and give it 2-3 hours to be absorbed before the next antibiotic dosage is taken. It is more important to get the Rx for the infection and if necessary use a "backup" method of contraception while taking the antibiotic to allay your concerns.