The baby was born in Ecuador. Can I find information when I go back to China with my passport?

Of course. Official website, the government service platform of the National Immigration Bureau, shows that after a child was born in Ecuador, he got a passport, and after returning to China, he had to contact the national civil affairs department to find out his personal information. Passport is a legal document issued by a country to prove the nationality and identity of its citizens when they enter and leave the country and travel or stay abroad.