I've learned that the three units (anny, thermo/hygro, base console) have to come up in order. Did you take all batteries out except the anny, then press the anny's reset button, then, insert the thermo's batteries, then, insert the base console's batteries? After all that they say wait up to 10 mins. (mine comes up in around 2 or 3).
Try that first but if that doesn't do it, with the base console on and running, take the thermo/hygro's batteries out and after a couple minutes put them back in. Possibly the base console will "see" the thermo/hygro reset and reconnect then. Hope it comes back.
ooops, sorry PNWFlyer. posted the same.