For this example i'll use NI's massive and show you how to sort out lfo control quick and simple but this applies to all types of automation hopefully you'll learn something new

Right first off i've loaded up logic and started with an instance of Massive:

Next i'll come up with some bassline melody and record it using a preset i've made (the mod 5 lfo is set to cut off in this one at 1/8ths)

you can hear it here:
alpaca bass start.mp3 - 0.55MB
Now then press A to bring up the automation and select massive in the box and scroll down to select mod 5 den and set automation to read mode.

Now just use the pencil tool and roughly sketch in some automation i don't matter too much at this point what the hell you do as we're going to tidy that up in a mo:

Now whilst the automation lane is up press control, command and E to bring up the automation event list:

This shows all automation data for this track
Select one of the automation event entries you've just put in for mod 5 den, click the edit button in the box and choose the select similar events
This will select all the automation you've just put in for mod 5 den:

Now with all of this automation selected you can now quantize it using the automation event list. I've selected 1/8 quant for his but you can use whatever you like - to the bar or even 16ths. It should now look like this:

From here you can make any adjustments you don't like and tighten them up again following the previous steps using the automation event list to select all and quantize

Now i've made a couple of adjustments and it now looks like this:

It now sounds like this:
alpaca bass adjusted automa.mp3 - 0.55MB
Right now pay close attention - whilst the automation event list is up press command 1 to bring up an arrange page for automation:

This page allows you to arrange all automation for your tracks
In this arrange window i've basically shortened the automation region to fit the midi data i've put in (8 bars) and then option dragged the region over to copy it across the the next 8 bars:

Now these boxes can be changed to make the automation half or double time by holding the option button whilst you change the size of the region. So what i've done is chopped the region to the right in half and deleted the half of that box to the right and option dragged it to create an 8 bar section with the automation stretched over 8 bars from 4 ( hopefully that makes sense)
Now another pay close attention moment - you will not see the automation data on the original arrange page until you have merged the automation regions - so do that now with the glue tool. Now it looks like this:

Right and now back to the real world go to the original arrange page and copy over the midi region you put in to create a 16 bar loop - remember to say don't copy automation entry when it asks you, you've just put some in already

It should now look like this:

Add a beat and it should sound like this:
alpaca bass with beat.mp3 - 1.07MB
Pretty shit innit

Any questions hit me up