There are several shortcuts that you can use in Groowe Search Toolbar. These shortcuts does not work in Mozilla browser.
Ctrl+F12Show/Hide toolbar. If you need extra space on your screen you can temporarily hide Groowe toolbar by using this shortcut. Prior to version 1.5.0 Ctrl+Shift+T was used.
Read more about hiding Groowe toolbar.
Ctrl+](Since 1.5.4) Switch to next toolbar in your favorites list.
Ctrl+[(Since 1.5.4) Switch to previous toolbar in your favorites list.
Ctrl+Shift+SFocus the search box so you can type keywords right away
Ctrl+Shift+NSearch next engine from favorites list, same as click on button.
Ctrl+Shift+HSwitch keyword highlights on and off, same as click on button.

Also, in Mozilla and Firefox, by holding Ctrl key while you click on some search button, you will force Groowebar to open your search results in the new tab. You will get the same effect if you use Ctrl+Enter from search box.