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in my reading it appears to me that your grasses may not survive as they are considered annuals in a 'northern climate', being hardy only to a zone 9....hope that is not the case. maybe check with your gardening centre.
we cut ours back too and it's outside now in 4 containers. I hope it will come back, it looked awesome last year but so far I don't see that much growth, we have to wait and see...
BC
i'm pretty sure you can hack that grass down to a low mound and it will come back quickly...i think.