As far as I know, the most common meaning reconstructed for that word is "water". It is actually the same word as *akʷā- so the two pages should really be merged. Can you do that? As for whether the root itself means "drink", I don't know.
I noticed my first message was not extremely clear, I meant : doesn't it seem strange that this suffixed form *h₂ekʷeh₂ can mean "to drink" (verbal meaning) ?
Ok, but which page must be kept : the one with laryngeals, or without ?
There are verbs ending in -eh₂- too, though; this suffix formed the basis of the Latin second conjugation in -āre. But it's true that this is a noun and not a verb, so the definition should be that of a noun.
I'm not sure which page to place it at. Ringe reconstructs the word as *ákʷeh₂ but specifically mentions that it is of post-PIE date, and can't be reconstructed for PIE proper. I don't know why he says that, though. In any case there are many words for which some linguists reconstruct *a and others reconstruct *h₂e, so we should probably choose one or the other (I favour using *a). Or we could use a special notation to indicate that it could be either... I have seen some editors use a capital *A for that. This may be worth discussing in the BP though.