Renaming objects dynamic way web application

Hello there, I have a serious problem in the automation I'm doing when I automate flow in TestComplete on IE9 and I run it on other browsers such as Ghrome or Firefox I detect navagador but I detected some objects however this script runs perfectly in IE9, I researched and I noticed that when performing automation in different browsers each browser gives a different name to each object and therefore fails when run on another browser the script, I wonder if the tool itself who does that or they may be this behavior, I am automating a bank may be for security or cookies I've even tried automating another application from my laptop worked for the 3 browsers and here not worked;? could guide me a bit because it may happen that ?

thank you very much