Two common options include:
Texture laser model inside photogrammetry software
Export the photogrammetry model
Align the laser model to the photogrammetry model
Import the aligned laser model into the photogrammetry software and generate the texture.
Export the textured photogrammetry model
Align the laser model
Bake the texture from photogrammetry to laser model
The photogrammetry mesh needs to be accurate enough for alignment with the laser model. As long as the camera alignment is good the texture map should be good as well even if the photogrammetry mesh has some defects from shiny/featureless surfaces.