A meteor icon appears on your map when a Meteorite event starts, often near you. Xenogard can appear there, but it is the rarer one, so it may take several events. Meteorite events on Sakurajima bring different Pals.
EggBreed it
Only two Xenogards make a Xenogard, so catch two first (one male, one female), then breed them for more. Open the breeding calculator
Base levels, plus what each job reaches at four condensing stars (light cells). The top level is 10.
MiningLv 4 out of 10→ 8★4, Lv 8 at four condensing stars
Condensing raises its jobs like this:
★1 +1 Mining
★2 +1 Mining
★3 +1 Mining
★4 +1 to every job
Condense it at a Pal Essence Condenser (unlocks at Lv 14) using 4, 8, 12 and 24 more Xenogard for each star (48 in all). Or feed it Starfruit ☆1 to ☆4 from the Medal trader, or a Ripe Starfruit from the Bounty token exchange. The Condenser shows the new levels before you confirm.