Dishwasher across from the sink? Way to make the pump stronger?
I can only think of three options here...
Water flows downhill
The first (less optimal) option, is to raise the discharge up and allow it to flow down to the drain connection.  In this scenario, you'll want to have the discharge tube go up to an air admittance device (AAV) or air gap. From there it should flow downhill (1/4&quot; per foot), until it reaches the garburator connection.

Use a separate drain
The other option, is to discharge the dishwasher to its own drain.  Install a properly vented standpipe near the dishwasher, and connect the discharge tubing to that (follow local plumbing codes).

Go under the floor
The last option is to run a drain line under the floor, and attach to the sink drain below the floor. Install a trap near the dishwasher, and run a proper drain that tees into the sink drain (follow local plumbing codes).