You can use a translation file (using POEdit to change the data in languages directory) to change to any string you like. If you do an update in the en_US.po (or another depending on your site language) file, you should see all the translatable strings in the strings list . You would then be able to input any alternate string of your choice there.
Pls search for “Continue Reading” string and insert an alternate string in the translation area , save and update the changes .
– You can get information from http://www.solostream.com/blog/tutorials/translate-wordpress-theme/ about translating your site into your language.
Here you can download poedit – https://poedit.net/
You can find the po files in livemesh-siteorigin-widgets-pro/languages folder .