Firstly I would never print photos from two different programs.
Things to look for. Are both programs using the same profile i.e sRGB. In photoshop you will find the profile in use by going to Edit>>color Settings, not sure about Coral. Both need to be the same.
Next in your printer software, is the printer set to use your editors colour management or is it using the printer colour management. I have my printer set to Photoshop managers color.
Also have you calibrated your monitor? If not and you don't have means to calibrate download Monitor Calibration wixard