No they didn't carry standards.

Austrian Grenadier battalions were created at the start of the campaign by combining the two grenadier companies of two different regiments. The regimental standards were carried by the field battallions.

A grenadier battalion was typically named for its commander. The four combined companies would total approximately 600 effectives, though with detachments, disease, desertion and battle casualties, this could be less, especially towards the end of a campaign year.

Because they were composed from two separate regiments it would not be uncommon for troops to have coats with two different facing colours.

I am not sure but my impression is that grenadier companies of regiments of the same nationality were converged, i.e., Germans with Germans, Hungarians with Hungarians. "German" of course, included Moravians, Walloons, Italians and others from western lands, regardless of native language. From a modeller's point of view, this means that it is safest not to mix units with white breeches and blue trousers.

I have noted that Grenze regiments also had grenadier companies but I have never identified which battalions they contributed to or whether they were kept with their parent regiments.