How to show my girlfriend my text messages when I'm away?

I'm studying in the USA and last time i went I sent some regretful flirtatious sexual messages to some girls who I never met or planned on meeting. To try and regain her trust I have have my Facebook password and was also wondering if there's an app or software to show her my text messages? I have iPhone. As I could screenshot but then how would she believe I haven't just deleted the messages.

That's just it, she could think you have just deleted them. You need to earn her trust back, just continue being open and honest and trust will return. It's so easy to break trust yet very difficult to build it back. Just persevere love things will be cool again as long you are a good boy. No more sexting

Your Girlfriend doesn't trust you don't have to show her anything she's over controlling you

If the level of trust, or lack of, has plummeted to this level, the relatiosnhip is over

Don't show them to her

That's weird