Your program includes other components, covered by OSI-approved licences. You have modified the source code of these components or merged it with your own code. Your program can be considered as a derivative work of other covered components
This situation is similar to the one where you modify software received under an OSI-approved licence.
You want to distribute / propagate your program, but not necessarily under the same licence
The licence choice for your program is depending on the licence(s) under which you have received the components.