You'd have to modify the webpart. I'd suggest cloning it over modifying it (best practice). The webpart can be cloned in the UI but you will have to make modifications in the actual code files after you've cloned it. You can find the files here: /CMSWebparts/SocialMedia/Facebook/FacebookLikeButton.ascx
Now remove the default value of "like" in the VerbToDisplay property (about line 127 in the webpart code). Then in the Localization application, create 2 new keys: custom_fblike and custom_fbrecommend. Now go back to your webpart and in the VerbToDisplay property, change the values in the dropdown from
like;Like
recommend;recommend
To
custom_fblike;Like
custom_fbrecommend;Recommend
Now in your webpart code, where ever VerbToDisplay is used wrap it with this ResHelper.GetString(VerbToDisplay). This will get the resource string you entered in the localization application. Now if you want to add addional items for the user to select, simply add another dropdown item and the resource key and value.
You may also want to add some validation to ensure that some value is returned so maybe use the ValidationHelper.GetString() function and return a default if nothing is found.