Assuming that your FOBO TPMS is working properly & the 'high pressure/high temp' levels are set appropriately, the following might help....
The temperature of the air inside your tires is very much dependent on the flexing of the tire sidewalls & tread as you ride, as well as things like the ambient temps, road surface, tire construction, et al. High starting pressures mean the tire won't flex much at all, giving you a harsher ride as a result, but also meaning the tire compound temp & that of the air inside it & therefore the pressure increases less (giving you less traction to go with the rough ride!) - while low starting pressures means the tire flexes too much, giving you a soft & spongy ride & meaning the tire compound & air temp increases a lot, pushing the pressure up & risking tire delamination &/or explosive failure!!
So Tire pressures increasing by more than about 4-6psi from their cold start pressures suggest that your starting pressures were too LOW for the conditions, the tire is flexing too much; & the tire sidewalls, tread compound, & the air inside the tire have all gotten too hot.... Often, this is the first indication you'll get that a tire has a slow leak & is heading for failure!! Sometimes, just ADDING 1-2 psi of 'cold' shop air will see your 'hot' running tire temps come down fairly quickly as you ride on, but that can depend on how all the other variables involved impact on the pressure/temperature increase.
What pressures do you normally set your tires to, & what are the ambient temps that you are riding in??