Need multipoint sliding locking mechanism
It's tough to make out what you have from these photos, as the lock escutcheon is still installed. A few important details are obscured. That said, our 38-209 is similar in design and may be what you want. Look it over and see what you think.
It sounds like you're referring to the tie bar. We do carry a selection of different sizes and configurations, which you can see here.
As for removing the trim, if it's wood then there's a good chance it's nailed in; if so, you can use a pry bar to gently pry the trim off to allow access to the tie bar and related parts. Just make sure to be very careful as you don't want to risk cracking the trim.