The swords that Archer used were replicas of real swords with the same names, which he made because he was greatly impressed by the originals. The original swords really existed (in real life), and were crafted by Gan Jiang and Mo Ye (pls refer to the wiki for the full text, I'll only put a piece of it here):
Gan Jiang (Chinese: 干將; pinyin: Gān Jiàng) and Mo Ye (Chinese: 莫邪;
pinyin: Mò Yé) were a swordsmith couple who lived during the Spring
and Autumn Period of Chinese history. A pair of swords were forged by
and named after them.
According to the historical text Wuyue Chunqiu, King Helü of Wu
ordered Gan Jiang and Mo Ye to forge a pair of swords for him.
However, the blast furnace failed to melt the metal. Mo Ye suggested
that there was insufficient human qi in the furnace so the couple cut
their hair and nails and cast them into the furnace, while 300
children helped to blow air into the bellows. In
another account, Mo Ye sacrificed herself to increase human qi by
throwing herself into the furnace. The desired result was achieved
after three years and the two swords were named after the couple. Gan
Jiang kept the Ganjiang Sword for himself and presented the Moye Sword
to the king. The king was angered when he discovered Gan Jiang had
kept one of the swords so he had Gan Jiang killed.
However, the legend doesn't really describe the appearance of the swords, so we can't say if Archer's replicas look the same or not.