Changing battery from 12v SLA to 12v Lithium, how can i accomplish this setup?
Can it work? No, sorry.

If your scooter has a 1000W motor then it will draw (take from the battery) 20 Amps. The spec for the Lithium batteries in the link lists the maximum output current as 1 to 2 Amp, which is nowhere near enough for your scooter. If you tried to use these lithium batteries then one of two things may happen:


the batteries may have a built in fuse which will 'blow' and stop the scooter working at all.
the batteries will attempt to deliver 20A, but rapidly overheat and fail. There is even a small chance that they may set on fire.


It is also worth noting that your SLA batteries have a capacity of 12Ah, whereas the lithium batteries have a capacity of 6.8Ah. Even if they did work they would give you about half the range of the SLA batteries.

These lithium batteries are only suitable for relatively low power and low current applications, such as powering electronic equipment.