Yes, like in all jobs, you can earn a higher salary if you are skilled as a babysitter. For the family that employs you as a nanny, their kids’ wellbeing and development is extremely important. They do not mind spending a little extra if you can show that the baby is happy in your company and that you can keep her safe.
During the interview, you should clearly mention the training that you have received and your learnings. You can also demonstrate it practically.
You should look for a family that values your skills and compensates suitably.