How to convert dataframe properly to anndata?

Question

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I have created a dataframe like this:

# tf-bc matrix

matrix_dir = "filtered_tf_bc_matrix"
mat = scipy.io.mmread(os.path.join(matrix_dir, "matrix.mtx.gz"))

motifs_path = os.path.join(matrix_dir, "motifs.tsv")
motif_ids = [row[0] for row in csv.reader(open(motifs_path), delimiter="\t")]
motif_names = [row[1] for row in csv.reader(open(motifs_path), delimiter="\t")]
barcodes_path = os.path.join(matrix_dir, "barcodes.tsv.gz")
barcodes = [row[0] for row in csv.reader(gzip.open(barcodes_path, mode="rt"), delimiter="\t")]
matrix = pd.DataFrame.sparse.from_spmatrix(mat)
matrix.columns = barcodes
matrix.insert(loc=0, column="motif_names", value=motif_names)
#matrix.insert(loc=0, column="motif_ids", value=motif_ids)
# display matrix
print(matrix)
# save the table as a CSV (note the CSV will be a very large file)
matrix.to_csv("mex_matrix.csv", index=False)

Then I read it as anndata like this: adata3 = ad.AnnData(matrix.T)

I have 2 issues with the anndata object. The first one is that there are no counts on the object. The second one is that when I do I see the barcodes but above it says motif names.

How can I import my file properly?

Thank you