First of all, go back to reply #2 and fix the link.
I can't figure a way to connect the RTC to the LCD through the arduino tho.The connections are the smallest part of your problem. The RTC requires specific pins so you have to connect this the same way you did before. The LCD can use any six unused Arduino pins so you determine it's connections after you deal with the RTC. Then you tell the sketch which connections you decided to use by putting the appropriate 'numbers' into the parentheses in the lcd.begin(...) statement.
I would like the day and the time to be displayed on the LCD screen. Also, what would I need to implement to the program?This is a bit more involved but certainly not impossible. I am not an experienced C programmer but it seems to me that the Sparkfun sketch uses the 'String ReadTimeDate()' function to assemble the data it reads from the clock. You just have to send this same information to the LCD module instead of (or in addition to) sending it to the serial monitor.