Repulsion can't move.
Kite your fleet (Attack long range with Bombers).
Jump your fleet (Get him to consume his AM).
Use a Dunov (it's AOE EMP Blast removes AM from infinite targets in range).
Use a Kortul (it's OP with passive Ability disruption and AM removal).
Use your own Guardians.
Use Stilakus Subverter's Distortion Field.
Lure him to attack where you have the advantage - Planet with Starbase and PJI... Starbase with Meteor Storm. Starbase with BRB. Vasari Starbase - Can't be repulsed.
silly things you can try...
Get Illuminator ability that clones the ship. Set up a macro to launch ability 'a' for all Illuminators. Launch phantom illuminators at repulsion fleet.
Mass Hoshiko's with demo bots to counter any frigate fleet they have while they use repulsion.
Mass Domina's with Disable and target Guardian's before you send fleet in.
Get Vasari Mine Layer and lay mine field to area you are going to kite too. (make sure you do it ahead of the pursuing fleet so the mines have time to set).
Get Advent Mine Layer and lay mine field to area to are going to kite too. (Make sure you do it ahead of the pursuing fleet so the mines have time to set).
Set TECH minefield on adjacent planet and try to get Advent to jump/follow you.
If your Vasari all you really need is massed Carriers with Bombers. Guardian's have a low hull to shield ratio and die quickly to OP phase missiles.
If your Tech all you really need is massed Carriers with Bombers. Takes a bit longer than Vasari but still allows ranged attack.
If your Advent all you really need is massed Carriers with Bombers. Takes a bit longer than Vasari but still allows ranged attack.