Fig: to make every effort to achieve something; to try very hard to do something

I'm jobless because of the pandemic, and I have to bend over backwards to make ends meet

Sono senza lavoro per via della pandemia e devo fare i salti mortali per arrivare a fine mese

The dealers of the new shopping mall are bending over backwards and making extra special offers to attract and acquire new customers

I commercianti del nuovo centro commerciale, stanno facendo salti mortali e si stanno inventando offerte specialissime per attirare ed acquisire nuovi clienti

Paul, a young college student, is bending over backwards to balance his education with his job to help his family

Paolo, giovane studente universitario, deve fare i salti mortali per conciliare lo studio all'università e il lavoro per aiutare la famiglia

Per avere quella macchina, farei i salti mortali

I'd jump through hoops to own that car!

From the world of gymnastics: bending the back is a difficult athletic move, and in this expression it's compared to doing something difficult