you need 3 outputs and one input to program AVR, so that UART bridge havong only 2 i/o pins isn't going to work.

One that has more pins would work, for software use something based around the the "serbb" programmer profile in AVRDUDE.

Serial port bit-bang is very slow over USB so you're probably better served using a dedicated programmer like fischl.de "USBasp" or genuine STK500

you need 3 outputs and one input to program AVR, so that UART bridge having only 2 i/o pins isn't going to work.

One that has enough pins could work, for software use something based around the the "serbb" programmer profile in AVRDUDE.

Serial port bit-bang is very slow over USB so you're probably better served using a dedicated programmer like fischl.de "USBasp" or genuine STK500