When it comes to a Liturgy of the Word with Communion during the week, this is what
Redemptionis Sacramentum says on the topic:
[166.] Likewise, especially if Holy Communion is distributed during such celebrations, the diocesan Bishop, to whose exclusive competence this matter pertains, must not easily grant permission for such celebrations to be held on weekdays, especially in places where it was possible or would be possible to have the celebration of Mass on the preceding or the following Sunday. Priests are therefore earnestly requested to celebrate Mass daily for the people in one of the churches entrusted to their care.
So, if the Bishop of the Diocese allows it, it’s OK.
But note that 164-166 make it clear that Rome doesn’t think it wise to have these liturgies WITH Communion, unless there is no opportunity for Mass for a long time. When Communion is included there is a danger that the community will stop seeing Mass as important.
I can see that happening in my own parish. My own fellow parishioners have expressed their wish for Liturgy of the Word over Mass – because the community is more involved.

Only reception of Communion is important to them.
Sadly, there are some Catholics who don’t even see a difference, referring to Liturgy of the Word with Communion as “Sister’s Mass” or the "Deacon’s Mass."