diff --git a/test/testsuite/enzyme/orthnull.jl b/test/testsuite/enzyme/orthnull.jl
index 9fae30e5..280e546e 100644
--- a/test/testsuite/enzyme/orthnull.jl
+++ b/test/testsuite/enzyme/orthnull.jl
@@ -17,7 +17,7 @@ end
 """
     test_enzyme_left_orth(T, sz; rng, atol, rtol)
 
-Test the Enzyme reverse-mode AD rules for `left_orth` with QR and polar (when `m >= n`)
+Test the Enzyme forward- and reverse-mode AD rules for `left_orth` with QR and polar (when `m >= n`)
 algorithms, and their in-place variants.
 """
 function test_enzyme_left_orth(
@@ -44,6 +44,9 @@ function test_enzyme_left_orth(
                 VC, ΔVC = ad_left_orth_setup(A)
                 test_reverse(left_orth, RT, (A, TA), (alg, Const); atol, rtol, fdm, output_tangent = ΔVC)
                 test_reverse(call_and_zero!, RT, (left_orth!, Const), (A, TA), (alg, Const); atol, rtol, fdm, output_tangent = ΔVC)
+                A = instantiate_matrix(T, sz)
+                test_forward(left_orth, RT, (A, TA), (alg, Const); atol, rtol, fdm)
+                test_forward(call_and_zero!, RT, (left_orth!, Const), (A, TA), (alg, Const); atol, rtol, fdm)
             end
         end
     end
@@ -52,7 +55,7 @@ end
 """
     test_enzyme_right_orth(T, sz; rng, atol, rtol)
 
-Test the Enzyme reverse-mode AD rules for `right_orth` with LQ and polar (when `m <= n`)
+Test the Enzyme forward- and reverse-mode AD rules for `right_orth` with LQ and polar (when `m <= n`)
 algorithms, and their in-place variants.
 """
 function test_enzyme_right_orth(
@@ -78,6 +81,9 @@ function test_enzyme_right_orth(
                 CVᴴ, ΔCVᴴ = ad_right_orth_setup(A)
                 test_reverse(right_orth, RT, (A, TA), (alg, Const); atol, rtol, fdm, output_tangent = ΔCVᴴ)
                 test_reverse(call_and_zero!, RT, (right_orth!, Const), (A, TA), (alg, Const); atol, rtol, fdm, output_tangent = ΔCVᴴ)
+                A = instantiate_matrix(T, sz)
+                test_forward(right_orth, RT, (A, TA), (alg, Const); atol, rtol, fdm)
+                test_forward(call_and_zero!, RT, (right_orth!, Const), (A, TA), (alg, Const); atol, rtol, fdm)
             end
         end
     end
diff --git a/test/testsuite/mooncake/orthnull.jl b/test/testsuite/mooncake/orthnull.jl
index e8970086..afbac9d9 100644
--- a/test/testsuite/mooncake/orthnull.jl
+++ b/test/testsuite/mooncake/orthnull.jl
@@ -17,7 +17,7 @@ end
 """
     test_mooncake_left_orth(T, sz; rng, atol, rtol)
 
-Test the Mooncake reverse-mode AD rules for `left_orth` with QR and polar (when `m >= n`)
+Test the Mooncake forward- and reverse-mode AD rules for `left_orth` with QR and polar (when `m >= n`)
 algorithms, and their in-place variants.
 """
 function test_mooncake_left_orth(
@@ -51,11 +51,11 @@ function test_mooncake_left_orth(
 
                 Mooncake.TestUtils.test_rule(
                     rng, left_orth, A, alg;
-                    mode = Mooncake.ReverseMode, output_tangent, is_primitive = false, atol, rtol
+                    output_tangent, is_primitive = false, atol, rtol
                 )
                 Mooncake.TestUtils.test_rule(
                     rng, call_and_zero!, left_orth!, A, alg;
-                    mode = Mooncake.ReverseMode, output_tangent, is_primitive = false, atol, rtol
+                    output_tangent, is_primitive = false, atol, rtol
                 )
             end
         end
@@ -65,7 +65,7 @@ end
 """
     test_mooncake_right_orth(T, sz; rng, atol, rtol)
 
-Test the Mooncake reverse-mode AD rules for `right_orth` with LQ and polar (when `m <= n`)
+Test the Mooncake forward- and reverse-mode AD rules for `right_orth` with LQ and polar (when `m <= n`)
 algorithms, and their in-place variants.
 """
 function test_mooncake_right_orth(
@@ -99,11 +99,11 @@ function test_mooncake_right_orth(
 
                 Mooncake.TestUtils.test_rule(
                     rng, right_orth, A, alg;
-                    mode = Mooncake.ReverseMode, output_tangent, is_primitive = false, atol, rtol
+                    output_tangent, is_primitive = false, atol, rtol
                 )
                 Mooncake.TestUtils.test_rule(
                     rng, call_and_zero!, right_orth!, A, alg;
-                    mode = Mooncake.ReverseMode, output_tangent, is_primitive = false, atol, rtol
+                    output_tangent, is_primitive = false, atol, rtol
                 )
             end
         end