After winning the supplementary cup last season Town have been given a bye through to the second round this year.
In the Challenge Cup, Spalding United Development will be the visitors to the Wong.
Dates for the two games are still to be confirmed.
Both draws in full can be seen below.
CHALLENGE CUP: ROUND ONE
Lincoln Utd Res vs Wyberton; Horncastle Town vs Spalding Utd Dev; Nettleham vs Ruston Sports; Gainsborough Trinity Res vs Cleethorpes Town Res; Louth Town vs Immingham Town
Byes - Lincoln Moorlands Railway, Grimsby Borough Res, Brigg Town CIC.
SUPPLEMENTARY CUP: ROUND ONE
Immingham Town vs Grimsby Borough Res; Gainsborough Trinity Res vs Ruston Sports; Nettleham vs Louth Town; Brigg Town CIC vs Lincoln Utd Res, Lincoln Moorlands Railway vs Cleethorpes Town Res
Byes - Wyberton, Horncastle Town, Spalding Utd Dev.