¿Cuál es la diferencia entre Try pressing this button. y Try to press this button. ?Puedes dar oraciones como ejemplo.

English is not my native language, but I'll try to do my best 😊 (see if you can understand why I wrote "try to do my best" after reading my answer 😉)

Try + infinitive is used to talk about attempting to do something, making an effort to do something (usually something difficult and often failing in the process.)

Try + -ing, on the other hand, is used to talk about making an experiment (doing something to see what will happen.)

In other words:

Try to press this button. Can you do it? Are you strong enough?

Try pressing this button. Then see what happens afterwards. Maybe this will solve your problem?

Speaking of ATM machines, there's usually no difficulty in pressing the buttons, and they are there for a purpose (pressing them will help you in some way or another.) That's why "try pressing this button" sounds more natural here.

Let's look at another example, which I found on the Internet:

I tried to move the table but it was too heavy = moving the table was difficult, it required an effort and I had to give up in the end.

I didn't like the way the furniture was arranged, so I tried moving the table to the other side of the room = I moved it as an experiment to see if the room would look better. It wasn't difficult and it didn't require any effort on my part.