We do not currently collect VMware tags in Vman. The last I checked this data was not available via the API, which is why we have not done it yet. We are currently investigating if there is any way to get this data, as it is pretty commonly requested, but I don't have any timeframes for you.
VMan does have it's own labeling mechanism you can use for this purpose. You will have to go re-tag your environment in VMan in order to accomplish this, so not ideal, but it is a solution.