Because of their commercial importance, Adana and Mersin have good transport.
The two nearest airports to Silifke and Taşucu are Adana's Şakirpaşa Airport and the Gazipaşa Airport between Alanya and Anamur.
Adana has the most active train station, and there are local trains along the coast to Mersin, from which you can take buses or minibuses to Silifke and Taşucu.
Although Taşucu is a traditional ferryboat port for Girne (Kyrenia) in Turkish Northern Cyprus, it can be quite difficult to get any information on whether ferries are operating, and if they are, when, and at what fare. Akgünler Denizcilik has schedules for these ferries, but all is in Turkish only. More...
You can try this ferry website. You might also look for ferries between Mersin and Girne.
Here's TTP's page on Turkey-Cyprus ferryboats.
Distances & Travel
km (96 miles) NE, 2.75 hours
km (177 miles) W, 5.25 hours
km (100 miles) W, 3.5 hours
km (317 miles) NW, 8 hours
km (214 miles) SE, 5 hours
km (172 miles) SE, 4.5 hours
km (16 miles) NE, 25 minutes
km (62 miles) NE, 1.5 hours
km (76 miles) E, 2 hours
—by Tom Brosnahan