(to) Bend over backwards means to strive hard, to do one’s utmost to achieve something. move heaven and earth. (to) try one’s hardest, (to) do one’s best.
They have bent over backwards to adapt small business to the new circumstances, and now they are selling online.
John bent over backwards for her sister when she was in trouble.
(to) bend over backwards in Catalan
There is a very idiomatic expresssion in Catalan that means exactly the same: fer mans i mànigues (literally, to do hands and sleeves).
(to) bend over backwards in French
In French, we can say se mettre en quatre, se plier en quatre, o se couper en quatre (which literally means to bent backwards)
(to) bend over backwards in German
In German sich ein Bein ausreißen (which literaly means to pluck one’s leg)
(to) bend over backwards in Italian
In Italian it is farsi in quattro (which literally means bent backwards)
(to) bend over backwards in Portuguese
In Portuguese it is fazer de tudo (which literally means “to do everything”)
(to) bend over backwards in Spanish
In Spanish you can say Hacer lo imposible (which literally means to do the impossible)