The gas home heater turns off after some time and wont turn on again unless I lower the thermostat and raise it back up
What I would try since it is a single stage gas and not sure if it may be a Tri state relay in the thermostat. Pull the thermostat  and connect the wires together and let the furnace / home get to temp so let it run for at least a normal time or longer. Then separate the 2 wires and wait at least 20 minutes. Reconnect the wires and if the heater starts properly it is the thermostat, even though the battery indicator states ok try new. The set point may be off because of a span or dead-band  setting.  I scanned the users manual and did not see a dead-band and this is unusual for a system that can heat and cool.
If things work just connecting the wires removing and connecting and the battery doesn't fix it I would look for a master reset there may be a programmed hold that is causing the issue.