The past tense of put one's tail between one's legs is also put one's tail between one's legs.

The third-person singular simple present indicative form of put one's tail between one's legs is puts one's tail between one's legs.

The present participle of put one's tail between one's legs is putting one's tail between one's legs.

The past participle of put one's tail between one's legs is put one's tail between one's legs.